| Name: Dr.Khan, A. R. | Phone: 2237 | Off. Loc: 5-505 | Email: arahim@kfupm.edu.sa |
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Teaching assignment
| # | Course | Section | Period | Location | Activity | Days |
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Office Hours (Phone: Office: )
| Sunday | Monday | Tuesday | Wednesday | Thursday |
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| Sno | Publications | Year | Status |
|---|---|---|---|
| [1] | H. FUKHAR-UD-DIN, A.R. KHAN, The implicit midpoint rule for nonexpansive mappings in 2-uniformly convex hyperbolic spaces, ARAB JOURNAL OF MATHEMATICAL SCIENCES | 2019 | Accepted |
| [2] | C. Izuchukwu · G. C. Ugwunnadi · O. T. Mewomo · A. R. Khan · M. Abbas, Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces, Numerical Algorithms https://doi.org/10.1007/s11075-018-0633-9. | 2018 | Published |
| [3] | Faik Gürsoy · Johannes Jacobus Arnoldi Eksteen · Abdul Rahim Khan · Vatan Karakaya, An iterative method and its application to stable inversion, Soft Computing, METHODOLOGIES AND APPLICATION, https://doi.org/10.1007/s00500-018-3384-6 | 2018 | Published |
| [4] | S.A.Shukri and A. R. Khan, "BEST PROXIMITY POINTS IN PARTIALLY ORDERED METRIC SPACES , ," Advances in Fixed Point Theory, vol. 8, no. 2, pp. 118-130, 2018. | 2018 | Published |
| [5] | S. Shukri, B. Vasile, and A. R. Khan, "FIXED POINTS OF DISCONTINUOUS MAPPINGS IN UNIFORMLY CONVEX METRIC SPACES," Fixed Point Theory, vol. 19, no. 1, pp. 397-406, 2018. | 2018 | Published |
| [6] | F.Gursoy, A. R. Khan, M.ERTURK, and V. Karakaya, "Convergence and data dependency of normal- S iterative method for discontinuous operators on Banach space ," Numerical Functional Analysis and Optimization, vol. 39, no. 3, pp. 322-345, 2018. | 2018 | Published |
| [7] | Nawab Hussain, Abdullah Eqal Al-Mazrooei,Jamshaid Ahmad and A. R. Khan, "Solution of Volterra integral equation in metric spaces via new fixed point theorem,"Filomat, 32:12 (2018), 4341–4350. | 2018 | Published |
| [8] | G.C. Ugwunnadi, A. R. Khan and M. Abbas, "A hybrid proximal point algorithm for finding minimizers and fixed points in CAT(0) spaces," Journal of Fixed Point Theory and Applications, https://doi.org/10.1007/s11784-018-0555-0 | 2018 | Published |
| [9] | H. Fukhar-ud-din and A. R. Khan, "Approximation of common fixed point of two quasi-nonexpansive mappings in convex metric spaces," Mediterranean Journal of Mathematics, vol. 1, pp. 1-11, 2018. | 2018 | Published |
| [10] | H. Fukhar-ud-din, A. R. Khan, and N.Hussain, "Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces," The Journal of Nonlinear Sciences and its Applications, vol. 10, pp. 771-779, 2017. | 2017 | Published |
| [11] | A. R. Khan, H. Fukhar-ud-din, and S. A. Shukri, "Implicit Ishikawa type algorithm in hyperbolic spaces," Palestine Journal of Mathematics, vol. 6, no. 1, pp. 101-110, 2017. | 2017 | Published |
| [12] | MUZEYYEN ERTURK, A. R. Khan, VATAN KARAKAYA, and FAIK GURSOY, "Convergence and data dependence results for hemicontractive operators ," Journal of Nonlinear and Convex Analysis, vol. 18, no. 4, pp. 697-708, 2017. | 2017 | Published |
| [13] | Gursoy,F., A. R. Khan, and H. Fukhar-ud-din, "Convergence and data dependence results for quasi-contractive type operators in hyperbolic spaces ," Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 3, pp. 391-406, 2017. | 2017 | Published |
| [14] | Khan, A. R., Vivek Kumar, Satish Narwal, and Renu Chugh, "Random Iterative Algorithms and Almost Sure Stability in Banach Spaces,," Filomat, vol. 31, no. 12, pp. 3611-3626, 2017. | 2017 | Published |
| [15] | M.A. Khamsi and A. R. Khan, "GOEBEL AND KIRK FIXED POINT THEOREM FOR MULTIVALUED ASYMPTOTICALLY NONEXPANSIVE MAPPINGS,," Carpathian J. Math., vol. 33, no. 3, pp. 335-342, 2017. | 2017 | Published |
| [16] | F.Gursoy, A. R. Khan, M.Erturk, and V. Karakaya, "Weak w2 stability and data dependence of Mann iteration method in Hilbert spaces , Serie A. Matemáticas.," Revista de la Real Academia de Ciencias Exactas, Fsicas y Naturales, DOI 10.1007/s13398-017-0447-y. | 2017 | Published |
| [17] | A. R. Khan, H. Fukhar-ud-din, and N.Yasmin, "Approximating common fixed point of asymptotically nonexpansive mappings without convergence condition ," Carpathian J. Math., vol. 33, no. 3, pp. 327-334, 2017. | 2017 | Published |
| [18] | Khan, A. R. and SHUKRI ,S. A., "BEST PROXIMITY POINTS IN THE HILBERT BALL," Journal of Nonlinear and Convex Analysis, vol. 17, no. 6, pp. 1083-1094, 2016. | 2016 | Published |
| [19] | Hussain,N., Khan,A.R., and Iqbal, I., "Common best proximity results for multivalued proximal contractions in metric space with applications, J. Nonlinear Sci. Appl.," 4OR, vol. 9, pp. 4814-4828, 2016. | 2016 | Published |
| [20] | A. R. Khan and H. Fukhar-ud-din, "Iterative methods for nonexpansive type mappings," in Fixed point theory and graph theory:foundations and integrative approaches, Q.H. Ansari and M.R.Alfuraidan, Ed. Elsvier, 2016, pp. 231-285. | 2016 | Published |
| [21] | H. Fukhar-ud-din, Juan J.Nieto, and A. R. Khan, "Common fixed point iterations for non-Lipschitzian mappings in a convex metric space, ," Mediterranean Journal of Mathematics, vol. 13, pp. 2061-2071, 2016. | 2016 | Published |
| [22] | A. R. Khan, F.Gursoy, and V.Karakaya, "Jungck-Khan iterative scheme and higher convergence rate, ," International Journal of Computer Mathematics, vol. 93, pp. 2092-2105, 2016. | 2016 | Published |
| [23] | H. Fukhar-ud-din, Vasile Berinde, and A. R. Khan, "Fixed point approximation of Presic nonexpansive mappings in product of CAT(0) spaces ," Carpathian J. Math., vol. 32, no. 3, pp. 307-314, 2016. | 2016 | Published |
| [24] | Khan, A. R., Gursoy,F., and Kumar,V., "STABILITY AND DATA DEPENDENCE RESULTS FOR JUNGCK-KHAN ITERATIVE SCHEME, Turkish J Math 40, p. 631 - 640 ," 4OR, 2016. | 2016 | Published |
| [25] | Khamsi, M.A. and A. R. Khan, "On monotone nonexpansive mappings in L1([0, 1])," Fixed Point Theory and Applications, pp. 94, 2015. | 2015 | Published |
| [26] | Khan, A. R., N.Hussain, N.Yasmin, and N.Shafqat, "Random Coincidence Point Results for Weakly Increasing Functions in Partially Ordered Metric Spaces ," Bulletin of the Iranian Mathematical Society, vol. 41, no. 2, pp. 407-422, 2015. | 2015 | Published |
| [27] | Jamshaid Ahmad, Nawab Hussain, A. R. Khan, and Akbar Azam, "Fixed point results for generalized multi-valued contractions , J. Nonlinear Sci. Appl.," 4OR, vol. 8, pp. 909-918, 2015. | 2015 | Published |
| [28] | V.Berinde and A. R. Khan, "On a functional equation arising in mathematical biology and theory of learning," Creative Math Inform, vol. 24, no. 1, pp. 9-16, 2015. | 2015 | Published |
| [29] | Khan, A. R., Yasmin,N., Fukhar-ud-din,H., and Shukri,S.A., "Viscosity approximation method for generalized asymptotically quasi-nonexpansive mappings in a convex metric space ," Fixed Point Theory and Applications, vol. 2015, no. 196, pp. 1-13, 2015. | 2015 | Published |
| [30] | H. Fukhar-ud-din, M.A.Khamsi, and A. R. Khan, "Viscosity Iterative Method for a Finite Family of Generalized Asymptotically Quasi-nonexpansive Mappings in Convex Metric Spaces ," Journal of Nonlinear and Convex Analysis, vol. 16, pp. 47-58, 2015. | 2015 | Published |
| [31] | M.Abbas, M. R. Alfuraidan, A. R. Khan, and T.Nazir, "Fixed point results for set-contractions on metric spaces with a directed graph," Fixed Point Theory and Applications, vol. 2015, no. 14, 2015. | 2015 | Published |
| [32] | Khan, A. R., Abbas,M., and Shehu,Y., "A GENERALCONVERGENCE THEOREM FOR MULTIPLE-SET SPLIT FEASIBILITY PROBLEM IN HILBERT SPACES," Carpathian J. Math., vol. 31, no. 3, pp. 349-357, 2015. | 2015 | Published |
| [33] | V. Berinde, A. R. Khan, and M.Pacurar, "Analytic and empirical study of the rate of convergence of some iterative methods. J. Numer. Anal. Approx. Theory," 4OR, vol. 44, no. 1, pp. 25-37, 2015. | 2015 | Published |
| [34] | V. Berinde, A. R. Khan, and H. Fukhar-ud-din, "Convergence theorems for admissible perturbations of generalised pseudocontractive operators ," Journal of Nonlinear and Convex Analysis, vol. 16, no. 3, pp. 563-572, 2015. | 2015 | Published |
| [35] | V.Berinde, A. R. Khan, and M.Pacurar, "Coupled solutions for a bivariate weakly nonexpansive operator by iterations 2014 :149.," Fixed Point Theory and Applications, 2014. | 2014 | Published |
| [36] | AFRAH A. N. ABDOU, K. Khamsi, and A. R. Khan, "Convergence Of Ishikawa Iterates Of Two Mappings In Modular Function Spaces, ," Fixed Point Theory and Applications, vol. 2014, no. article:74, 2014. | 2014 | Published |
| [37] | Khan, A. R., M.Abbas, Talat Nazir, and Cristiana Ionescu, "Fixed points of multivalued contractive mappings in partial metric spaces,," Abstract and Applied Analysis, vol. 2014, no. ID 230708, pp. 1-9, 2014. | 2014 | Published |
| [38] | Khan, A. R., H. Fukhar-ud-din, A. Kalsoom, and B. S. Lee, "Convergence of a general algorithm of asymptotically nonexpansive maps in uniformly convex hyperbolic spaces ," Applied Mathematics and Computation, vol. 238, pp. 547-556, 2014. | 2014 | Published |
| [39] | Vasile Berinde, A. R. Khan, and Madalina pacurar, "CONVERGENCE THEOREMS FOR ADMISSIBLE PERTURBATIONS OF PSEUDOCONTRACTIVE OPERATORS ,," Miskolc Mathematical Notes, vol. 15, no. 1, pp. 27-37, 2014. | 2014 | Published |
| [40] | Khan, A. R. and H. Fukhar-ud-din, " Iterative Construction of Common Fixed Points in Convex Metric Spaces," in Fixed Point Theory, Variational Analysis, and Optimization, Saleh A . R . Al-Mezel , Falleh R . M . Al-Solamy , and Qamrul H . Ansari, Ed. Chapman and Hall/CRC, 2014, pp. 3-43. | 2014 | Published |
| [41] | M. A. A. Khan, H. Fukhar-ud-din, and A. R. Khan, "Mosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces, ," Fixed Point Theory and Applications, vol. 2014, no. Article:59, 2014. | 2014 | Published |
| [42] | Khan, A. R. and H. Fukhar-ud-din, "Common Fixed Point Iterations of Generalized Asymptotically Quasi-Nonexpansive Mappings in Hyperbolic Spaces," Journal of Applied Mathematics and Physics, vol. 2, pp. 170-175, 2014. | 2014 | Published |
| [43] | Khan, A. R., Vivek Kumar, and Nawab Hussain, "Analytical and Numerical Treatment of Jungck-Type Iterative Schemes," Applied Mathematics and Computation, vol. 231, pp. 521-535, 2014. | 2014 | Published |
| [44] | B.A. Ibn Dehaish, M.A. Khamsi, and A. R. Khan, " Mann Iteration Process for Asymptotic Pointwise Nonexpansive Mappings in Metric Spaces ," Journal of Mathematical Analysis and Applications, vol. 397, pp. 861-868, 2013. | 2013 | Published |
| [45] | A. R. Khan, "Common fixed point and solution of nonlinear functional equations,," Fixed Point Theory and Applications, pp. 290, 2013. | 2013 | Published |
| [46] | H. Fukhar-ud-din, A. R. Khan, and M. Ubaid- Ur-R-Rehman, "Ishikawa type algorithm of two multi-valued quasi-nonexpansive maps on nonlinear domains," Ann. Funct. Anal., vol. 4, no. 2, pp. 97-110, 2013. | 2013 | Published |
| [47] | H. Fukhar-ud-din, A. R. Khan, A.Kalsoom, and M.A.A.Khan, "One-step implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces ," J. Adv. Math. Stud., vol. 6, no. 1, pp. 73-81, 2013. | 2013 | Published |
| [48] | D.R.Sahu, A. R. Khan, and S.M.Kang, "APPROXIMATING FIXED POINTS OF NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES WITHOUT UNIFORM CONVEXITY ," Bulletin of the Korean Mathematical Society, vol. 50, no. 3, pp. 1007-1020, 2013. | 2013 | Published |
| [49] | Khan, A. R. and H. Fukhar-ud-din, "A unified approach to iterative construction of common fixed points in nonlinear domains," in Proceedings of the 10th IC-FPTA July 9-18, 2012, Cluj-Napoca, Romania http://www.math.ubbcluj.ro/fptac, 2013, pp. 143-156. | 2013 | |
| [50] | A. R.Khan, M.Abbas, and B.Ali, "Tripled Coincidence and Common Fixed Point Theorems for Hybrid Pair of Mappings, ," Creat. Math. Inform., vol. 22, no. 1, pp. 53-64, 2013. | 2013 | Published |
| [51] | Mujahid Abbas, A. R. Khan, and Talat Nazir, "Common Fixed Point of Multivalued Mappings in Ordered Generalized Metric Space ," Filomat, vol. 26, no. 5, pp. 1045-1053, 2012. | 2012 | Published |
| [52] | H. Fukhar-ud-din, A. R. Khan, and Z.Akhtar, "Fixed point results for a generalized nonexpansive map in uniformly convex metric spaces," Nonlinear Analysis: Theory, Methods & Applications, vol. 75, pp. 4747-4760, 2012. | 2012 | Published |
| [53] | F.Akbar, A. R. Khan, and N.Sultana, "Common fixed point and approximation results for generalized (f,g) weak contractions, ," Fixed Point Theory and Applications, pp. 75, 2012. | 2012 | Published |
| [54] | A. R.Khan, H. Fukhar-ud-din, and M.A.A.Khan, "An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces,," Fixed Point Theory and Applications, pp. 54, 2012. | 2012 | Published |
| [55] | M.Abbas, A. R. Khan, and Z. Nemeth, "Complementarity problems via common fixed points in vector lattices, ," Fixed Point Theory and Applications, pp. 60, 2012. | 2012 | Published |
| [56] | H. Fukhar-ud-din, A. R. Khan, and M. A. A. Khan, "A New Implicit Algorithm of Asymptotically Quasi-nonexpansive Maps in Uniformly Convex Banach Spaces," IAENG International Journal of Applied Mathematics, vol. 42, no. 3, pp. 171-175, 2012. | 2012 | Published |
| [57] | M.Abbas, S.H.Khan, A. R. Khan, and R. P. Agarwal, "Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme," Applied Mathematics Letters, vol. 24, pp. 97-102, 2011. | 2011 | Published |
| [58] | M.A. Khamsi and A. R. Khan, "Inequalities in metric spaces with applications ," Nonlinear Analysis: Theory, Methods & Applications, vol. 74, no. 12, pp. 4036-4045, 2011. | 2011 | Published |
| [59] | M.Abbas, A. R. Khan, and T.Nazir, "COUPLED COMMON FIXED POINT RESULTS IN TWO GENERALIZED METRIC SPACES ," Applied Mathematics and Computation, vol. 217, pp. 6328-6336, 2011. | 2011 | Published |
| [60] | H. Fukhar-ud-din, A. A. Domlo, and A. R. Khan, "Strong convergence of an implicit algorithm in CAT(0) spaces," Fixed Point Theory and Applications, pp. 1-11, 2011. | 2011 | Published |
| [61] | A. R. Khan, M. A. Khamsi, and H. Fukhar-ud-din, "Strong convergence of a general iteration scheme in CAT (0) spaces," Nonlinear Analysis: Theory, Methods & Applications, vol. 74, pp. 783-791, 2011. | 2011 | Published |
| [62] | M.Abbas, M.A.Khamsi, and A. R. Khan, "Common fixed point and invariant approximation in hyperbolic ordered metric spaces 2011 (2011) 25. doi:10.1186/1687-1812-2011-25.," Fixed Point Theory and Applications, pp. 1-25, 2011. | 2011 | Published |
| [63] | H.Fukhar-ud-din, A.A.Domlo, and A. R. Khan, "Strong Convergence of an Implicit Algorithm in CAT(0) Spaces, Article ID 173621 ," Fixed Point Point Theory and Applications, vol. 2011, pp. 1-11, 2011. | 2011 | Published |
| [64] | A. K.Katsaras, L.A,Khan, and A.R.Khan, "On maximal closed ideals in topological algebras of continuous vector -valued functions over non-Archimedean valued fields," in Contemporary Mathematics Vol. 551 ;Proc. 11th International conference on P-adic Functional Analysis, 2011, pp. 135-141. | 2011 | |
| [65] | A. R.Khan and A.A.Domlo, "Random Ishikawa iteration scheme of two random operators"," in Proc. 2011 Int.Conf. Appl. Engin. Math.,Imperial,College,London., 2011, pp. 165-169. | 2011 | |
| [66] | Khan, A. R. and H. Fukhar-ud-din, "Weak and strong convergence of Ishikawa iterates for nonself asymptotically quasi-nonexpansive mappings, vol. 50, no.1 & 2 , PP 23-39 ," Journal of Natural Sciences and Mathematics, 2010. | 2010 | Published |
| [67] | A. R. Khan, "On modified Noor iterations for asymptotically nonexpansive mappings," Bulletin of the Belgian Mathematical Society -- Simon Stevin, vol. 17, no. 1, pp. 127-140, 2010. | 2010 | Published |
| [68] | A. R. Khan, Hafiz Fukhar ud-din, and Abdulaziz Domlo, "Approximating fixed points of some maps in uniformly convex metric spaces," Fixed Point Theory and Applications, vol. 2010, no. Art.ID385986, pp. 1-11, 2010. | 2010 | Published |
| [69] | A. R. Khan and M.A.Ahmed, "Convergence of a general iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces and applications ," Computers & Mathematics with Applications, vol. 59, pp. 2990-2995, 2010. | 2010 | Published |
| [70] | A. R. Khan and H.Fukhar-ud-din, "Weak Convergence of Ishikawa Iterates for Nonexpansive Maps," in Proceedings of the World Congress on Engineering and Computer Science WCECS 2010, October 20-22, 2010, San Francisco, USA, 2010, pp. 1026-1029. | 2010 | |
| [71] | M.H.Shah, N.Hussain, and A. R. Khan, "Common Fixed Points of Weakly Contractive and Strongly Expansive Mappings in Topological Spaces ," Journal of Inequalities and Applications, vol. 2010, no. 746045, pp. 1-15, 2010. | 2010 | Published |
| [72] | N.Hussain, A. R. Khan, and R. P. Agarwal, "Krasnoselskii and Ky Fan type fixed point theorems in ordered Banach spaces," Journal of Nonlinear and Convex Analysis, vol. 11, no. 3, pp. 475-489, 2010. | 2010 | Published |
| [73] | F.Akbar and A. R. Khan, "Common fixed point and approximation results for noncommuting maps on locally convex spaces," Fixed Point Theory and Applications, vol. 2009, no. Art ID 207503, pp. 14, 2009. | 2009 | Published |
| [74] | A. R. Khan and F.Akbar, "Common fixed points from best simultaneous approximations ," Taiwanese Journal of Mathematics, vol. 13, no. 5, pp. 1379-1386, Oct. 2009. | 2009 | Published |
| [75] | L.C. Ceng, A. R. Khan, Q. H. Ansari, and J.C.Yao, "Strong convergence of composite iterative schemes for zeros of m-accretive operators in Banach spaces," Nonlinear Analysis: Theory, Methods & Applications, vol. 70, no. 5, pp. 1830-1840, 2009. | 2009 | Published |
| [76] | L.C.Ceng, A. R. Khan, Q. H. Ansari, and J.C.Yao, "Viscosity approximation methods for strongly positive and monotone operators," Fixed Point Theory, vol. 10, no. 1, pp. 35-71, 2009. | 2009 | Published |
| [77] | Khan, A. R., "Common fixed point iterations of a finite family of quasi-nonexpansive maps," in Proceedings of the World Congress on Engineering 2009 vol.II WCE 2009 July 1-3,2009,London ,UK, UNIT1, 1-F, 37-39 HUNG TO ROAD, KWUN TONG, HONG KONG, 00000, PEOPLES R CHINA, 2009, pp. 1219-1223. | 2009 | |
| [78] | A. R. Khan and F.Akbar, "Best simultaneous approximations ,asymptotically nonexpansive mappings and variational inequalities in Banach spaces," Journal of Mathematical Analysis and Applications, vol. 354, pp. 469-477, 2009. | 2009 | Published |
| [79] | S.H.Khan, M.Abbas, and A. R. Khan, "Common fixed points of two nonexpansive mappings by a new one-step iteration process," Iranian Journal of Science and Technology, Trans. A., vol. 33, no. A3, pp. 249-257, 2009. | 2009 | Published |
| [80] | M. Abbas and A. R. Khan, "Common Fixed Points of Generalized Contractive Hybrid Pairs in Symmetric Spaces," Fixed Point Theory and Applications, vol. 2009, no. 869407, pp. 1-11, 2009. | 2009 | Published |
| [81] | A. R. Khan, "Ishikawa Iteration Process for Nonself Nonexpansive Maps in Banach Spaces," IAENG International Journal of Applied Mathematics, vol. 38, no. 3, pp. 121-124, 2008. | 2008 | Published |
| [82] | H.Fukhar-ud-din and A. R. Khan, "Weak and strong convergence of Noor iterations for two asymptotically quasi-nonexpansive mappings," Nonlinear Functional Analysis and Application, vol. 13, no. 3, pp. 515-528, 2008. | 2008 | Published |
| [83] | A. R. Khan, F.Akbar, and N.Sultana, "Random coincidence points of subcompatible multivalued maps with applications .," Carpathian J. Math., vol. 24, no. 2, pp. 63-71, 2008. | 2008 | Published |
| [84] | A. R. Khan, A.A.Domlo, and H.Fukhar-ud-din, "Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces," Journal of Mathematical Analysis and Applications, vol. 341, no. 1, pp. 1-11, 2008. | 2008 | Published |
| [85] | A. R. Khan and K.Rowlands, "On locally solid topological lattice groups," Czechoslovak Mathematical Journal, vol. 57, no. 3, pp. 963-973, 2007. | 2007 | Published |
| [86] | A. R. Khan, A.A.Domlo, and N.Hussain, "Coincidences of Lipschitz type hybrid maps and invariant approximation," Numerical Functional Analysis and Optimization, vol. 28, no. 9-10, pp. 1165-1177, 2007. | 2007 | Published |
| [87] | H. Fukhar-ud-Din and A. R. Khan, "Approximating Common Fixed Points of Asymptotically Nonexpansive Maps in Uniformaly Convex Banach Spaces," Computers & Mathematics with Applications, vol. 53, pp. 1349-1360, 2007. | 2007 | Published |
| [88] | H.Fukhar-ud-din, A. R. Khan, D.O,Regan, and R.P.Agarwal, "An implicit iteration scheme with errors for a finite family of uniformly continuous mappings," Functional Differential Equations, vol. 14, no. 2-4, pp. 245-256, 2007. | 2007 | Published |
| [89] | A. R. Khan, "Random coincidence points of multivalued contractive random operators," in International conference on Nonlinear analysis and Convex Analysis(2005),Okinawa, Yokohama ,Japan, 2007, pp. 215-226. | 2007 | |
| [90] | A. R. Khan and A.A.Domlo, "Coincidence and fixed point of nonself contractive maps with applications," Indian Journal of Mathematics, vol. 49, no. 1, pp. 17-30, 2007. | 2007 | Published |
| [91] | A. R. Khan, "On Principle of equicontinuity," Electronic Modelling, vol. 29, no. 5, pp. 17-29, 2007. | 2007 | Published |
| [92] | A. R. Khan, F.Akbar, N.Sultana, and N.Hussain, "Coincidence and invariant approximation theorems for generalized f-nonexpansive multivalued mappings," International Journal of Mathematics and Mathematical Sciences, vol. 2006, pp. 1-18, 2006. | 2006 | Published |
| [93] | A. R. Khan and A.A.Domlo, "Common fixed points of compatible maps on balls and eigenvalue problems," Nonlinear Analysis Forum, vol. 11, no. 1, pp. 15-21, 2006. | 2006 | Published |
| [94] | A. R. Khan, "Best approximation operator and fixed points of multivalued mappings," In proceedings of the Moderen Mathematical Models and Algorithems for Real World Systems, pp. 260-268, 2006. | 2006 | |
| [95] | A. R. Khan and A.A.Domlo, "Random fixed points of multivalued inward random operators," Journal of Applied Mathematics and Stochastic Analysis, vol. 2006, no. Arti. ID 19428, pp. 1-8, 2006. | 2006 | Published |
| [96] | A. Latif, A.Bano, and A. R. Khan, "A result on best approximation in locally convex spaces," Tamkang Journal of Mathematics, vol. 36, no. 3, pp. 237-242, 2005. | 2005 | Published |
| [97] | H.Fukhar-ud-Din and A. R. Khan, "Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces," International Journal of Mathematics and Mathematical Sciences, vol. 10, pp. 1643-1653, 2005. | 2005 | Published |
| [98] | A. R. Khan, "Properties of fixed point set of a multivalued map," Journal of Applied Mathematics and Stochastic Analysis, vol. 2005, no. 3, pp. 323-332, 2005. | 2005 | Published |
| [99] | A. R. Khan, A.Latif, A.Bano, and N.Hussain, "Some results on common fixed points and best approximation," Tamkang Journal of Mathematics, vol. 36, no. 1, pp. 33-38, 2005. | 2005 | Published |
| [100] | A. R. Khan, N.Hussain, and A.B.Thaheem, "Some generalizations of Ky Fan,s best approximation theorem," Analysis in Theory and Applications, vol. 20, no. 2, pp. 189-198, 2004. | 2004 | Published |
| [101] | A. R. Khan and N.Hussain, "Random coincidence point theorem in Frechet spaces with applications," Stochastic Analysis and Applications, vol. 22, no. 1, pp. 155-167, 2004. | 2004 | Published |
| [102] | A. B. Thaheem and A. R. Khan, "On some properties of Banach operators ,II," International Journal of Mathematics and Mathematical Sciences, vol. 47, pp. 2513-2515, 2004. | 2004 | Published |
| [103] | I.Beg, A. R. Khan, and N.Hussain, "Approximation of *-nonexpansive random multivalued operators on Banach spaces," Journal of the Australian Mathematical Society, vol. 76, pp. 51-66, 2004. | 2004 | Published |
| [104] | A. R. Khan, A. B.Thaheem, and N.Hussain, "Random fixed points and random approximations," Southeast Asian Bulletin of Mathematics, vol. 27, no. 2, pp. 289-294, 2003. | 2003 | Published |
| [105] | A. R. Khan and N.Hussain, "Characterizations of random approximations," Archivum Mathematicum (Brno), vol. 39, no. 4, pp. 271-275, 2003. | 2003 | Published |
| [106] | I. Beg, N. Hussain, and A. R. Khan, "Fixed point, almost fixed point and best approximation of nonexpansive multivalued mapping in Banach spaces," Advances in Mathematical Sciences and Applications, vol. 13, no. 1, pp. 83-111, 2003. | 2003 | Published |
| [107] | N.Hussain and A. R. Khan, "Random fixed points of multivalued *-nonexpansive maps," Random Operators and Stochastic Equations, vol. 11, no. 3, pp. 243-254, 2003. | 2003 | Published |
| [108] | N. Hussain and A. R. Khan, "Applications of the best approximation operator to *-nonexpansive maps in Hilbert spaces," Numerical Functional Analysis and Optimization, vol. 24, no. 3 & 4, pp. 327-338, 2003. | 2003 | Published |
| [109] | N.Hussain and A. R. Khan, "Common fixed points and best approximation in p-normed spaces," Demonstratio Mathematica, vol. XXXVI, no. 3, pp. 675-681, 2003. | 2003 | Published |
| [110] | A.Bano, A. R. Khan, and A.Latif, "Coincidence points and best approximations in P-normed spaces," Radovi Matematicki, vol. 12, no. 1, pp. 27-36, 2003. | 2003 | Published |
| [111] | A. R. Khan, A.B.Thaheem, and N.Hussain, "A stochastic version of Fans best approximation theorem," Journal of Applied Mathematics and Stochastic Analysis, vol. 16, no. 3, pp. 275-282, 2003. | 2003 | Published |
| [112] | N.Hussain and A. R. Khan, "Common fixed-point results in best approximation theory," Applied Mathematics Letters, vol. 16, no. 4, pp. 575-580, 2003. | 2003 | Published |
| [113] | A. R. Khan, A. B.Thaheem, and N.Hussain, "Random fixed points and random approximations in nonconvex domains," Journal of Applied Mathematics and Stochastic Analysis, vol. 15, no. 3, pp. 263-270, 2002. | 2002 | Published |
| [114] | A. R. Khan, A.Bano, and N.Hussain, "Common fixed points in best approximation theory," International Journal of Pure and Applied Mathematics, vol. 2, no. 4, pp. 411-426, 2002. | 2002 | Published |
| [115] | A. R. Khan and N.Hussain, "Random approximations and random fixed points for *-nonexpansive maps," Mathematical Sciences Research Journal, vol. 6, no. 4, pp. 174-182, 2002. | 2002 | Published |
| [116] | A. R. Khan, A.Latif, A.Bano, and N.Hussain, "Coincidence point results in locally convex spaces," International Journal of Pure and Applied Mathematics, vol. 3, no. 4, pp. 413-423, 2002. | 2002 | Published |
| [117] | A. R. Khan, "Common fixed points from best approximation," In proceedings of the 26th Summer Symposium Conference Reports , Real Analysis Exchange, pp. 189-196, 2002. | 2002 | |
| [118] | A. R. Khan and N.Hussain, "Random fixed point theorems for *-nonexpansive operators in Frechet spaces," Journal of the Korean Mathematical Society, vol. 39, no. 1, pp. 51-60, 2002. | 2002 | Published |
| [119] | A. R. Khan, A.Bano, and A.Latif, "Coincidence points and best approximation," Journal of Pure and Applied Sciences, vol. 21, no. 2, pp. 103-108, 2002. | 2002 | Published |
| [120] | A. R. Khan and N.Hussain, "Random fixed points for *-nonexpansive random operators," Journal of Applied Mathematics and Stochastic Analysis, vol. 14, no. 4, pp. 341-349, 2001. | 2001 | Published |
| [121] | A. R. Khan and N.Hussain, "Iterative approximation of fixed points of nonexpansive maps," Scientiae Mathematicae Japonicae, vol. 54, no. 3, pp. 503-511, 2001. | 2001 | Published |
| [122] | A. B.Thaheem and A. R. Khan, "On some properties of Banach operators," International Journal of Mathematics and Mathematical Sciences, vol. 27, no. 3, pp. 149-153, 2001. | 2001 | Published |
| [123] | A. R. Khan and S. H.Khan, "Group-valued submeasures and the range of measures," Analele Stiintificae Ale Universitatii Matematica, vol. XLVII, pp. 35-42, 2001. | 2001 | Published |
| [124] | A. R. Khan and N.Hussain, "An extension of a theorem of Sahab, Khan and Sessa," International Journal of Mathematics and Mathematical Sciences, vol. 27, no. 11, pp. 701-706, 2001. | 2001 | Published |
| [125] | A.Latif, A.Bano, and A. R. Khan, "Some results on multivalued s-nonexpansive maps," Radovi Matematicki, vol. 10, no. 1, pp. 195-201, 2001. | 2001 | Published |
| [126] | A. R. Khan, N.Hussain, and L.A.Khan, "A note on Kakutani type fixed point theorems," International Journal of Mathematics and Mathematical Sciences, vol. 24, no. 4, pp. 231-235, 2000. | 2000 | Published |
| [127] | A. R. Khan and N.Hussain, "Best approximation and fixed point results," Indian Journal of Pure and Applied Mathematics, vol. 31(8), pp. 983-987, 2000. | 2000 | Published |
| [128] | A. R. Khan, N. Hussain, and A. B.Thaheem, "Applications of fixed point theorems to invariant approximation," Approximation Theory and its Applications, vol. 16, no. 3, pp. 48-55, 2000. | 2000 | Published |
| [129] | A. R. Khan and N.Hussain, "Fixed point and best approximation theorems for *-nonexpansive maps," Punjab University Journal of Mathematics, vol. XXXIII, pp. 135-144, 2000. | 2000 | Published |
| [130] | A. R. Khan, N.Hussain, and M.Akram, "On open mapping and closed graph theorems," Punjab University Journal of Mathematics, vol. XXXI, pp. 95-102, 1998. | 1998 | Published |
| [131] | A. R. Khan, N.Hussain, and M.Aslam, "Fixed point theorems for the sum of two maps in locally convex spaces," In proceedings of the Proceedings of All Pakistan Mathemaical Conference, Faisalabad, pp. 15-20, 1997. | 1997 | |
| [132] | A. R. Khan, M.Aslam, and N.Hussain, "Some best approximation results in localy convex spaces," Approximation Theory and its Applications, vol. 12, no. 3, pp. 29-36, 1996. | 1996 | Published |
| [133] | A. R. Khan, N.Hussain, and M.Aslam, "Mann iterative construction of fixed points in locally convex spaces," Journal of Natural Sciences and Mathematics, vol. 36, no. 2, pp. 155-159, 1996. | 1996 | Published |
| [134] | L.A.Khan and A. R. Khan, "An extension of Brosowski-Meinardus theorem on invariant approximation," Approximation Theory and its Applications, vol. 11, no. 4, pp. 1-5, 1995. | 1995 | Published |
| [135] | A. R. Khan, M.A. Shahid, and N.Hussain, "Strong uniqueness in metrizable topological vector spaces," Bulletin of the Malaysian Mathematical Science Society, vol. 17, pp. 21-27, 1994. | 1994 | Published |
| [136] | A. R. Khan, M.Abbas, and Z.Akram, "Existence of best approximation by multifunctions," Journal of Research, vol. 6, no. 1, pp. 17-21, 1994. | 1994 | Published |
| [137] | A. R. Khan, Z.Akram, and M.Abbas, "Fixed point theorems for set-valued mappings in a semi-convex setting," Southeast Asian Bulletin Mathematics, Special Issue, pp. 43-47, 1993. | 1993 | Published |
| [138] | A. R. Khan, Introduction to Lebesgue Integration, First ed., Kabir Street,Urdu Bazar,Lahore,Pakistan: Ilmi Kitab Khana, 1993. | 1993 | |
| [139] | A. R. Khan and S.H.Khan, "Principle of equicontinuity for topological groups," Matemat. Bech., vol. 44, pp. 7-10, 1992. | 1992 | Published |
| [140] | A. R. Khan and S.H.Khan, "Order continuous group-valued submeasures," Journal of Research, vol. 4, no. 1, pp. 35-38, 1992. | 1992 | Published |
| [141] | A. R. Khan, M.Abbas, and Z.Akram, "Best approximation as a fixed point in locally bounded topological vector spaces," Punjab University Journal of Mathematics, vol. XXV, pp. 123-130, 1992. | 1992 | Published |
| [142] | A. R. Khan and A.Q.Siddiqui, "Fixed points in metrizable topological vector spaces," Mathematica Japonica, vol. 36(6), pp. 1129-1134, 1991. | 1991 | Published |
| [143] | A. R. Khan and A.Q.Siddiqi, "The exhaustion principle for 0-measures," Sindh University Research Journal, vol. 23(1), pp. 43-47, 1991. | 1991 | Published |
| [144] | A. R. Khan, "Another proof of the Vitali-Hahn-Saks theorem," Journal of Research, vol. 2, no. 2, pp. 23-26, 1989. | 1989 | Published |
| [145] | A. R. Khan, "On a theorem of Helson and the principle of equicontinuity," Journal of Natural Sciences and Mathematics, vol. 27, no. 1, pp. 15-19, 1987. | 1987 | Published |
| [146] | A. R. Khan and K. Rowlands, "On a theorem of Danes and the principle of equicontinuity," Bollettino della Unione Matematica Italiana, vol. 6, pp. 211-215, 1986. | 1986 | Published |
| [147] | A. R. Khan and K.Rowlands, "A decomposition theorem for submeasures," Glasgow Mathematical Journal, vol. 26, no. 1, pp. 69-74, 1985. | 1985 | Published |
| [148] | A. R. Khan, "A note on semigroup-valued measures," Mathematica Japonica, vol. 30, no. 3, pp. 399-403, 1985. | 1985 | Published |
| [149] | A. R. Khan, "On group-valued submeasures," Punjab University Journal of Mathematics, vol. XVII, pp. 11-22, 1984. | 1984 | Published |
| [150] | A. R. Khan, "On group-valued measures and submeasures and locally solid topological l-groups," Ph.D. Dissertation, University of Wales, Department of Pure Mathematics,University college of Wales,Aberystwyth,Wales,U.K., 1983. | 1983 |
| # | Title | PI/Coordinaor | Members | Sponsor | Grant | Ref # | S-Date | E-Date | Month | Status |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Fixed point and iterations for nonlinear mappings in hyperbolic spaces | Khan, A. R. | B. Vasile H. Fukhar-ud-din KFUPM |
Internal Research |
IN141047 |
May 2015 |
May 2017 |
24 |
In Progress |
|
| 2 | METRIC FIXED POINT THEORY AND APPLICATIONS | Khan, A. R. | Mohamed A Khamsi Nawab Hussain KACST |
KACST |
P-J-11-0623 |
Mar 2013 |
Feb 2015 |
24 |
In Progress |
|
| 3 | Solution methods for split-feasibility problems and fixed point problems with applications | A. R. Khan | Q. H. Ansari H. Fukhar-ud-din M.Abbas KFUPM |
Internal Research |
IN121037 |
May 2013 |
Apr 2015 |
24 |
Completed |
|
| 4 | Coincidences and approximation of multi-valued mappings with applications | A. R. Khan | H. Fukhar-ud-din M.Abbas KFUPM |
Internal Research |
IN121023 |
Mar 2013 |
Jul 2015 |
28 |
Completed |
|
| 5 | Fixed points and iterations in uniformly convex metric spaces | H. Fukhar-ud-din | A. R. Khan K. Khamsi KFUPM |
Internal Research |
IN121055 |
Jul 2013 |
Jun 2015 |
24 |
Completed |
|
| 6 | Coupled fixed points of multi-valued maps in ordered metric spaces with applications | Khan, A. R. | M.A.. Khamsi M.Abbas KFUPM |
Internal Research |
IN101037 |
Jun 2011 |
Dec 2012 |
18 |
Completed |
|
| 7 | New fixed point results for multivalued maps with applications | A. R. Khan | M.A. Khamsi| SABIC |
Fast Track |
SB100012 |
Mar 2010 |
Aug 2011 |
18 |
Completed |
|
| 8 | Iterative methods for solving variational inequalities with applications | A. R. Khan | S. Homidan Q. H. Ansari S. Khan KFUPM |
Internal Research |
IN070362 |
May 2007 |
Nov 2008 |
18 |
Completed |
|
| 9 | Coincidences and approximation of non-commuting multivalued maps with applications | A. R. Khan | KFUPM | SABIC | SB070016 | May 2007 | Apr 2008 | 12 | Completed | |
| 10 | Deterministic and Random Varsions of Fan,s Approximation Theorem with Applications | A. R. Khan | KFUPM | Fast Track | FT/2002/01 | Jan 2003 | Jan 2004 | 12 | Completed |
| Course | Section | Semester | F1,F2.. :Final Exams, E1,E2..:Majors Q1,.. :Quizzes H1,.. : Homework& S1,.: Syllabus |
|---|---|---|---|
| MATH202 | 11 | 182 | Q1 Q2 Q3 Q4 Q5 |
| MATH202 | 16 | 182 | Q1 Q2 Q3 Q4 Q5 |
| MATH201 | 25 | 181 |
Q1
Q2
Q3
Q4
Q5
(See section: 26 ) |
| MATH201 | 26 | 181 | Q1 Q2 Q3 Q4 Q5 |
| MATH202 | 05 | 172 | Q1 Q2 Q3 Q4 Q5 |
| MATH202 | 12 | 172 | Q1 Q2 Q3 Q4 Q5 |
| MATH201 | 08 | 171 |
(See section: 09 ) |
| MATH201 | 09 | 171 | Q1 Q2 Q3 Q4 Q5 |
| MATH201 | 12 | 162 | Q1 Q2 Q3 Q4 Q5 |
| MATH201 | 14 | 162 | Q1 Q2 Q3 Q4 Q5 |
| MATH201 | 13 | 161 | Q1 Q2 Q3 Q5 Q4 |
| MATH201 | 14 | 161 | Q1 Q2 Q3 Q4 Q5 |
| MATH201 | 09 | 152 | Q3 Q1 Q2 Q4 Q5 |
| MATH531 | 01 | 152 | S1 E1 E2 F1 |
| MATH201 | 10 | 151 | Q1 Q2 Q3 Q4 Q5 |
| MATH201 | 15 | 151 | Q1 Q2 Q3 Q4 Q5 |
| MATH201 | 09 | 142 | Q1 Q2 Q3 Q4 Q5 |
| MATH531 | 01 | 142 | E1 E2 S1 F1 |
| MATH201 | 27 | 141 | Q1 Q2 Q4 Q3 Q5 |
| MATH535 | 01 | 141 | S1 E2 E1 E3 F1 |
| MATH201 | 01 | 132 | E1 Q2 Q1 Q3 E2 Q4 Q5 F1 |
| MATH201 | 03 | 132 | Q2 Q1 Q3 Q4 Q5 |
| MATH201 | 18 | 131 | Q1 Q2 Q3 Q4 S1 Q5 |
| MATH201 | 22 | 131 | Q1 Q2 Q3 Q4 S1 Q5 |
| MATH201 | 03 | 122 | Q1 Q2 S1 Q3 Q4 Q5 |
| MATH536 | 01 | 122 | S1 E1 E2 F1 |
| MATH201 | 05 | 121 |
S1
Q1
Q2
Q3
Q4
Q5
F1
E1
E2
(See section: 21 ) |
| MATH201 | 10 | 121 | F1 E1 E2 Q1 Q2 Q3 Q4 Q5 S1 |
| MATH201 | 21 | 121 | F1 E1 E2 Q1 Q2 Q3 Q4 Q5 S1 |
| MATH201 | 06 | 112 | S1 Q2 Q1 Q3 Q4 Q5 F1 E1 E2 |
| MATH536 | 01 | 112 | S1 E1 E2 E3 |
| MATH201 | 22 | 111 | Q1 Q2 Q3 Q3 Q4 S1 Q5 |
| MATH535 | 01 | 111 | E1 S1 E2 F1 |
| MATH132 | 01 | 102 | S1 Q1 Q2 Q3 Q4 E1 E2 Q5 F1 |
| MATH132 | 04 | 102 | S1 Q1 Q2 Q3 Q4 E1 E2 Q5 F1 |
| MATH132 | 01 | 101 | S1 Q1 Q2 Q3 E1 E2 Q4 Q5 F1 |
| MATH132 | 02 | 101 | S1 Q1 Q2 Q3 E1 E2 Q4 Q5 F1 |
| MATH132 | 01 | 092 | Q1 Q2 S1 E1 Q3 E2 Q4 Q5 F1 |
| MATH132 | 05 | 092 | Q1 Q2 S1 E1 Q3 E2 Q4 Q5 F1 |
| MATH102 | 04 | 091 | Q1 S1 Q2 Q3 Q4 Q5 F1 E1 E2 |
| MATH102 | 05 | 091 | Q1 S1 Q2 Q3 Q4 Q5 F1 E1 E2 |
| MATH102 | 08 | 091 | Q1 S1 Q2 Q3 Q4 Q5 F1 E1 E2 |
| MATH201 | 01 | 082 | S1 S2 Q1 Q2 Q3 Q4 Q5 E1 E2 F1 |
| MATH201 | 09 | 082 | S1 S2 Q1 Q2 Q3 Q4 Q5 E1 E2 F1 |
| MATH201 | 01 | 081 |
S1
Q1
Q2
Q3
Q4
Q5
E1
E2
F1
(See section: 20 ) |
| MATH201 | 05 | 081 | Q3 Q4 Q1 Q2 S1 Q5 E1 E2 F1 |
| MATH201 | 08 | 081 | Q3 Q4 Q1 Q5 F1 E1 E2 |
| MATH201 | 20 | 081 | Q3 Q4 Q2 Q5 F1 E1 E2 |
| MATH102 | 03 | 072 |
F1
E1
E2
Q1
Q2
Q3
Q4
Q5
S1
(See section: 06 ) |
| MATH102 | 06 | 072 |
(See section: 03 ) |
| MATH201 | 02 | 071 |
Q1
E1
Q2
Q3
Q4
Q5
E2
S1
F1
(See section: 14 ) |
| MATH201 | 05 | 071 |
S1
(See section: 14 ) |
| MATH201 | 14 | 071 |
E1
S2
(See section: 02 ) |
| MATH201 | 08 | 062 | Q1 Q2 Q3 Q4 E1 S1 E2 Q5 F1 |
| MATH311 | 01 | 062 | E1 E2 S1 E3 F1 |
| MATH201 | 03 | 061 | S1 Q1 Q2 Q3 Q4 Q5 E1 E1 F1 |
| MATH201 | 06 | 061 | S1 Q1 Q2 Q3 Q4 Q5 E1 E2 F1 |
| MATH201 | 13 | 061 | S1 Q1 Q2 Q3 Q4 Q5 E1 E2 F1 |
| MATH102 | 18 | 052 | Q1 E1 S1 S2 Q2 Q3 E2 Q4 Q5 F1 |
| MATH102 | 20 | 052 |
S1
S2
E1
E2
Q1
Q2
Q3
Q4
Q5
F1
(See section: 18 ) |
| MATH102 | 23 | 052 |
S1
S2
Q1
Q2
Q3
Q4
E1
E2
Q5
F1
(See section: 18 ) |
| MATH201 | 15 | 051 | Q1 E1 Q2 Q3 Q4 E2 Q5 F1 S1 |
| MATH535 | 01 | 051 | E1 E2 F1 S1 |
| MATH102 | 04 | 042 | S1 Q1 Q2 E1 Q3 E2 Q4 Q5 F1 |
| MATH102 | 08 | 042 |
(See section: 04 ) |
| MATH201 | 08 | 041 | Q1 Q2 Q3 Q4 Q5 F1 F2 H1 S1 F3 |
| MATH201 | 11 | 041 |
(See section: 08 ) |
| MATH201 | 08 | 032 | |
| MATH201 | 09 | 032 |
| # | Title | View |
|---|---|---|
| 1 | Common Fixed Points Iteration Process for a Finite Family of Asymptotically Quasi-nonexpansive Mappings: A.R. Khan, A.A. Domlo and H. Fukhar-ud-din, Jan 2007. | 373 |
| 2 | Common Fixed Points of Weakly Compatible Maps on Balls and Applications: A. R. Khan and A.A. Domlo, Oct 2005. | 336 |
| 3 | A Stochastic Version of Fans Bext Approximation Theorem: A. R. Khan, A. B. Thaheem, and Nawab Hussain, Apr 2003. | 292 |
| 4 | Coincidence Point Results in Locally Convex Spaces: A. R. Khan and N. Hussain, May 2000. | 255 |
| 5 | On Some Properties of Branch Operators: A.B. Thaheem and A. R. Khan, Apr 2000. | 252 |