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 Members and Activities

Fixed Point Theory and Applications Research Group (FPTARG)

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Members and Activities


Members


The Fixed Point Theory and Applications Research Group is composed of members from the Department of Mathematics and Statistics at KFUPM as well as members from the Saudi Universities and members from around the world.

Dr. Mohamed Amine Khamsi
Joint Professor
Area of Specialization: Fixed Point Theory Nonlinear Functional Analysis
Personal Website

Dr. Monther Alfuraidan
Associate Professor

Area of Specialization: Graph Theory
Personal Website

Dr. Mohammed Zuheir Abu-Sbeih
Associate Professor
Area of Specialization:
Graph Theory
Personal Website

Dr. Suliman Al-Homidan
Professor
Area of Specialization: Optimization, Variational Problems
Personal Website

  

Dr. Mohammed Mogib Alshahrani
Associate Professor
Area of Specialization: Optimization, Variational Problems
Personal Website

Dr. Qamrul Hassan Ansari
Joint Professor
Area of Specialization: Nonlinear Analysis, Optimization and Variational Analysis
Personal Website

Dr. Hafiz Fukharuddin
Associate Professor
Area of Specialization:  Fixed Point Theory Nonlinear Functional Analysis
Personal Website
 
Dr. Abdul Rahim Khan
Professor
Area of Specialization: Fixed Point Theory, Functional Analysis
Personal Website
 
 
Dr. Khairul Saleh
Assistant Professor
Area of Specialization: Dynamical Systems
Personal Website 
 
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Conference Attended


Most of the membershave participated in the organization of the following meetings:

1.       Fourth International Conference on Formal Concept Analysis (ICFCA 06), Dresden, Germany, February 13-17, (2006)

2.       Fixed Point Theory and Applications Day, Department of Mathematics and Statistics, KFUPM, Dhahran, Saudi Arabia (2008)

3.       Fixed Point Theory and Applications Day, Department of Mathematics and Statistics, KFUPM, Dhahran, Saudi Arabia (2009)

4.       World Congress on Engineering, Imperial College, London, UK (2009)

5.      10th International Conference on Computational and Mathematical  Almeria, Spain.(2010)

6.       Analysis Day, Department of Mathematics and Statistics, KFUPM, Dhahran, Saudi Arabia (2010)

7.       Stochastic Partial Differential Equations, Cambridge, UK. (2010)

8.       1st International Conference on Mathematics and Statistics,  Sharjah, UAE.(2010)

9.       International Conference on Computational and Mathematical Methods in Science and Engineering, Almeria, Spain (2010)

10.   International Conference of Applied and Engineering Mathematics, Imperial College , London, UK (2010)

11.   11-th International Conference on p-adic Functional Analysis, Universite Blaise Pascal, Clermont-Ferrand, France (2010)

12.   Summer Conference in Mathematics, Lahore university of Management Sciences, Lahore, Pakistan (2010)

13.   24th Biennial Conference on Numerical Analysis, University of Strathclyde Glasgow, UK (2010)

14.   Numerical Analysis and Optimization and Applications, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia (2011)

15.   International Conference on Analysis and its Applications (ICAA-2011),

16.   Department of Mathematics, Aligarh Muslim University, Aligarh during November 19-21, (2011)

17.   Training Program on Nonlinear Analysis with Applications to Optimization and Game Theory, Department of Mathematics, Aligarh Muslim University, Aligarh during November 16-19, (2011)

18.   International Workshop "Nonlinear Analysis and Fixed Point Theory", Department of Mathematics and Statistics, KFUPM, Dhahran, Saudi Arabia (2012)

19.   International Workshop on Computational and Algebraic Graph Theory, Department of Mathematics and Statistics, KFUPM, Dhahran, Saudi Arabia (2013)

20.   Special session on Approximation Theory and Optimization in 78th Annual Conference of Indian Mathematical Society, Banaras Hindu University, Varanasi, India.(2013)

 

FPTARG members gave plenary and invited talks at national and international conferences and workshops in: Austria, Australia, Belgium, Chili, China, Colombia, France, Germany, India, Italy, Japan, Korea, KSA, Morocco, Oman, Romania, Spain, Turkey, Taiwan, UAE, UK, USA.

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Editorial Boards


Some members have served/been serving on the editorial board and guest editors as well as leading editors of special issues of the following research journals:

  • Arabian Journal of Mathematics
  • Fixed Point Theory and Applications
  • Journal of Optimization Theory and Applications
  • Journal of Inequalities and Applications
  • Journal of Global Optimization
  • Abstract and Applied Analysis
  • Carpathian Journal of Mathematics
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Publications


Metric Fixed Point Theory:

  1. A. R. Khan, H. Fukhar-ud-din and A.A. Domlo, Approximating fixed points of some maps in uniformly convex metric spaces, Fixed point Theory and Appl. Volume 2010, Article ID 385986, 11 pages.
  2. A. R. Khan and H. Fukhar-ud-din, Weak and strong convergence of Ishikawa iterates for nonself asymptotically quasi-nonexpansive mappings, PK ISSN 0022- 2941; CODEN JNSMAC, Vol. 50, No.1 & 2 (April & October 2010), 23-39.
  3. A. R. Khan and H. Fukhar-ud-din, Weak Convergence of Ishikawa Iterates for Nonexpansive Maps, Proceedings of the World Congress on Engineering and Computer Science WCECS 2010, October 20-22, 2010, San Francisco, USA, 2010, 1026-1029.
  4. Q. H. Ansari, L. C. Zeng, and S. Al-Homidan, Hybrid proximal-type algorithms for generalized equilibrium problems, maximal monotone operators and relatively nonexpansive mappings, Fixed Point Theory and Applications, Volume 2011, Article ID 973028, (2011), 23 pages.
  5. A.R. Khan, M.A. Khamsi, H. Fukhar-Ud-din, "Strong Convergence of a General Iteration Scheme in CAT(0) Spaces", Nonlinear Analysis: Theory, Methods & Applications, 74 (2011),783-791.
  6. Q. H. Ansari, and S. Al-Homidan, Fixed Point Theorems on Product Topological Semilattice Spaces, Generalized Abstract Economies and Systems of Generalized Vector Quasi-Equilibrium Problems, Taiwanese Journal of Mathematics, 15 (1) (2011), 307-330.
  7. M. A. Khamsi, A. R. Khan, "Inequalities in Metric Spaces with Applications", Nonlinear Analysis TMA: 74 (2011) 4036-4045.
  8. M, Abbas, M. A. Khamsi, A. R. Khan, "Common Fixed Point and Invariant Approximation in Hyperbolic Ordered Metric Spaces", Fixed Point Theory and Applications 2011, doi: 10.1186/1687-1812-2011-25.
  9. Q. H. Ansari, S. Al-Homidan, and Jen-Chih Yao, Collectively Fixed Point and Maximal Element Theorems in Topological Semilattice Spaces, Applicable Analysis, 96 (6) June (2011), 865-888.
  10. 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, 2011(2011), 1-11.
  11. M.A. Khamsi, I. Louhichi, "A convergence result on random products of mappings in metric spaces", Fixed Point Theory and Applications 2012, 2012:43, doi:10.1186/1687-1812-2012-43.
  12. A. R. Khan, H. Fukhar-ud-din, and M. A. A. Khan, An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spsces, Fixed Point Theory and Applications, 2012 (2012), pages 25.
  13. H. Fukhar-ud-din, A. R. Khan and Z. Akhtar, Fixed point results for generalized nonexpansive maps in uniformly convex metric spaces, Nonlinear Analysis: Theory, Methods & Applications, (2012), 4747-4760.
  14. 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.
  15. B Ibn Dehaish, M A Khamsi, A R Khan, "Mann iteration process for asymptotic pointwise nonexpansive mappings in metric spaces", Journal of Mathematical Analysis and Applications, Vol. 397, Issue 2, (2013) 861-868.
  16. 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., 6 (2013), No. 1, 73-81.
  17. H. Fukhar-ud-din, A. R. Khan and M. Ubaid-ur-Rehman, Ishikawa type algorithm of two multivalued quasi-nonexpansive maps on nonlinear domains, Ann. Funct. Anal. 4 (2013), no. 2, 97-109.
  18. M. Alshahrani, Q. H. Ansari, and S. Al-Homidan, System of Nonsmooth Variational Inequalities with Applications, To appear in Optimization (2014).
  19. Saleh Almezel, Qamrul Hasan Ansari and Mohamed Amine Khamsi (Editors) Topics in Fixed Point Theory, Springer, Cham, Heidelberg, New York, Dordrecht, London, 2014.
  20. H. Fukhar-Ud-din, M. A. Khamsi, "Approximating common fixed points in hyperbolic spaces", submitted.
  21. A. N. Abdou, M. A. Khamsi, A. R. Khan, "Convergence of Ishikawa iterates of two mappings in Modular function spaces", submitted.  

 Discrete Fixed Point Theory:

  1. B. Schroder, Ordered sets - an introduction, Birkhauser Verlag, Boston, Basel, Berlin. (2003).
  2. B. Schroder, Examples of Powers of Ordered Sets with the Fixed Point Property, Order 23 (2006), 211-219.
  3. T. Kulkarni and B. Schroder, An Enumeration Problem in Ordered Sets Leads to Possible Benchmarks for Run-Time Prediction Algorithms, invited lecture, in: Rokia Missaoui, Jurg Schmidt (ed.), Formal Concept Analysis: 4th International Conference, ICFCA 2006, Dresden, Germany, February 13-17, 2006, Proceedings, Lecture Notes in Computer Science 3874 (2006), Springer, 30-44.
  4. M. R. Alfuraidan and J. I. Hall, Smith's Theorem and a characterization of the  6-cube as distance-transitive graph, J. Algebraic Comb. 24(2) (2006), 195-207.
  5. M. R. Alfuraidan and J. I. Hall,  Imprimitive Distance-Transitive Graphs with Primitive Core of Diameter at least 3, Michigan Math. J. 58 (2009), 31-77.
  6. M. Z. Abu-Sbeih, M. A. Khamsi, "On Externally Complete subsets and Common fixed Points in Partially Ordered Sets", Fixed Point Theory and Applications 2011, 2011:97, doi:10.1186/1687-1812-2011-97.
  7. M. Kukieła and B. Schroder, A 2-Antichain that is not Contained in any Finite Retract, Algebra Universalis 67 (2012), 59-62
  8. B. Schroder, The Fixed Point Property for Ordered Sets (survey), Arabian Journal of Mathematics 1 (2012), 529-547.
  9. M. R. Alfuraidan, Bipartite Distance-Transitive Doubles with Primitive Halved of Diameter Two, Graphs and Combinatorics 29 (5) (2013), 1151-1174.
  10. M. R. Alfuraidan, Antipodal Distance-Transitive Graphs with Primitive Quotient of Diameter Two, Discrete Mathematics 313 (21) 2013, 2409-2422.
  11. B. Schroder, The Fixed Vertex Property for Graphs, submitted to Order
  12. M. R. Alfuraidan, M. A. Khamsi, "Caristi Fixed Point Theorem in Metric Spaces with a Graph", to appear in Abstract and Applied Analysis, 2014. 

 Applications of Fixed Point Theory:

  1. Q. H. Ansari, L.C. Ceng, A.R. Khan and J.-C. Yao , Viscosity Approximation Methods for Strongly Positive and Monotone Operators, Fixed Point Theory, 10 (2009), 35-71.
  2. Q. H. Ansari, L.C. Ceng, S. Al-Homidan and J.-C. Yao, An Iterative Scheme for Equilibrium Problems and Fixed Points Problems of Strict Pseudo-Contraction Mappings, Journal of Computational and Applied Mathematics, 223(2)(2009), 967-974.
  3. Q. H. Ansari, L.C. Ceng, A.R. Khan and J.-C. Yao, Strong Convergence of Composite Iterative Schemes for Zeros of m-Accretive Operators in Banach Spaces, Nonlinear Analysis, Theory, Methods and Applications, 70 (2009), 1830-1840.
  4. Q. H. Ansari, and S. Al-Homidan, Quasi-equilibrium problems with lower and upper bounds in ordered topological spaces, Journal of Nonlinear and Convex Analysis, 11(2), (2010), 345-355.
  5. Q. H. Ansari, and S. Al-Homidan, Generalized Minty Vector Variational-like Inequalities and Vector Optimization Problems, Journal of Optimization Theory and Applications, 144 (1) (2010), 1-11.
  6. S. Al-Homidan, Q.H. Ansari and J.-C. Yao, Nonsmooth Invexities, Invariant Monotonicities and Nonsmooth Vector Variational-like Inequalities with Applications to Vector Optimization, in Recent Developments in Vector Optimization, Edited by Q.H. Ansari and J.-C. Yao, Springer-Verlag, Berlin, 2012.
  7. Q. H. Ansari, and S. Al-Homidan, , Relations between generalized vector variational-like inequalities and vector optimization problems, Taiwanese Journal of Mathematics 16(3) (2012), 987-998.
  8. M. Alshahrani, Q. H. Ansari, and S. Al-Homidan, Existence Results for Nonsmooth Vector Quasi-Variational-like Inequalities, Abstract and Applied Analysis Volume 2013 (2013), Article ID 376829, 7 pages http://dx.doi.org/10.1155/2013/376829
  9. Q. H. Ansari, L. C. Zeng , and S. Al-Homidan, Relaxed extragradient-like method for general system of generalized nonlinear mixed equilibrium problems and fixed point problems, To appear in Fixed Point Theory and Applications (2013). 
  10. M. Alshahrani, Q. H. Ansari, and S. Al-Homidan, Nonsmooth variational-like inequalities and nonsmooth vector optimizatization,  To appear in Optimization Letters (2013).
  11. Q. H. Ansari, and S. Al-Homidan,  Nonsmooth Weighted Variational Inequalities and Nonsmooth Vector Optimization, To appear in Journal of Nonlinear and Convex Analysis (2014).
  12. L. C. Ceng, S. Al-Homidan, and Q. H. Ansari,  Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems, To appear in Fixed Point Theory and Applications.

Citations

 The members have collected so far over 3130 citations according to the Web of Knowledge.

 

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Projects


Most of the group members have been very active in getting funded research projects.  A short list of some of these projects (since 2009) is:  

  1. A.R. Khan, S. Al-Homidan and Q.H. Ansari, Iterative methods for solving variational inequalities with applications, Project No. MS/Applications /362, Completed.
  2. A. R. Khan, M. A. Khamsi, New fixed point results for multivalued maps with applications, KFUPM Research Project No. SB100012, Completed.
  3. A.R. Khan, M. A. Khamsi, Coupled fixed points of multi-valued maps in ordered metric spaces with applications, KFUPM Research Project No.IN101037, Completed.
  4. M. Z. Abu-Sbeih, M. A. Khamsi,   New fixed point results for multivalued maps in discrete sets and applications, KFUPM Research Project No.IN101008, Completed.
  5. M. A. Khamsi,   I. Louhichi, Random Product of Linear and Nonlinear Operators, KFUPM Research Project No. SB101021, Completed.
  6. A. R. Khan, M. A. Khamsi, Metric fixed point theory and applications, KACST, P-J-11-0623, In progress.
  7. A.R. Khan, Q.H. Ansari H and H. Fukhar-Uddin, Solution methods for split-feasibility problems and fixed point problems with applications, KFUPM Research Project No. IN121037, In progress.
  8. A.R. Khan and H. Fukhar-Uddin, Coincidences and approximation of multi-valued mappings with applications, KFUPM Research Project No. IN121023, In progress.
  9. H. Fukhar-Uddin, M. A. Khamsi, A. R. Khan, Fixed points and iterations in uniformly convex metric spaces, KFUPM Research Project No. IN121055, In progress.
  10. S. Al-Homidan, Q.H. Ansari, KFUPM Funded Research Project entitled ``Generalized Invexity, Non-Smooth Vector Optimization and Vector Variational-like Inequalities'', October 01, 2009 to September 30, 2011.
  11. S. Al-Homidan, Q.H. Ansari, KFUPM Funded Research Project entitled ``Nonsmooth Vector Variational Inequalities with Applications'', May 01, 2011 to April 30, 2013.
  12. Mohammed AlShahrani , S. Al-Homidan , Q.H. Ansari , KFUPM Funded Research Project entitled "Nonsmooth Vector Quasi-Variational Inequalities with Applications", April 04, 2013 to April 03, 2015.
  13. Mohammed AlShahrani , S. Al-Homidan , Q.H. Ansari , KFUPM Funded Research Project entitled "Existence and Approximation of Solutions of Multivalued Complementarity Problems with Applications", February 02, 2013 to February 01, 2015.
  14. M. R. Alfuraidan, M. Z. Abu-Sbeih, B. Schroeder, Extending discrete fixed point theory through new connections with graph theory, submitted as NSTP.
  15. M. R. Alfuraidan, M. Z. Abu-Sbeih, S. Shpectorov, Unit vector representation of triangle-free SRGs, submitted as KACST.
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Works Supervised

MS/Ph.D. Theses Supervised

Members have supervised or are supervising Post-Doctoral Associates, Doctoral dissertations, and numerous MS theses within and outside KSA:

  1. D. Misane: Doctorat d'Etat (1994), Rabat, Morocco.
  2. S. Samadi: Ph.D. (2001), University of Sevilla, Spain.
  3. T. Kulkarni, MS Computer Science (2001), Louisiana Tech University, USA.
  4. R. Hashem, M.S. in Math Education (2000), UTEP, USA.
  5. N. Hussain, Ph.D., (2002), Pakistan.
  6. S.S Irfan, Ph.D., (2002), India.
  7. Z. Khan, Ph.D.,  (2003), India.
  8. A. Bano, Ph.D., (2004), Pakistan.
  9. J. Hughes, MS Mathematics (2004), Louisiana Tech University, USA.
  10. A. Rafiq, Ph.D., (2004), Pakistan.
  11. A. A. Domlo, Ph. D.,  2006, KFUPM, KSA
  12. F. Akbar, Ph. D., 2011, Pakistan.
  13. O. Taani: Ph. D. (2011), NMSU, USA.
  14. A. N. Abdou, Post-Doc (2013), KAU, KSA.
  15. B. A. Bindehaish, Post-Doc (2013), KAU, KSA.
  16. Aisha Rehan, M.S. (2013), India.
  17. A. Schneider, M.S. (2014), Germany.
  18. Ala Talahmeh, Ph.D. candidate (2014), KFUPM, KSA.
  19. Raed Ali, Ph.D. candidate (2014), KFUPM, KSA.
  20. I. O. Sarumi, M.S. candidate (2014), KFUPM, KSA.
  21. A. S. A. Raheem, M.S. candidate (2014), KFUPM, KSA.
  22.  A. Ayodele, M.S. candidate (2014), KFUPM, KSA.
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