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A new fixed point technique for equilibrium problem with a finite family of multivalued quasi-nonexpansive mappings

   | 24 nov 2023
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V. Berinde, M. Pacurar, The role of the Pompeiu-Hausdorff metric in fixed point theory, Creat. Math. Inform., vol. 22, no. 2, 2013, 143-150. Search in Google Scholar

E. Blum, W. Oettli, From optimization and variational inequalities to equilibrium problems, Math. Student, vol. 63, 1994, 123-145. Search in Google Scholar

P. L. Combettes, S. A. Hirstoaga, Equilibrium programming in Hilbert spaces, Journal of Nonlinear and Convex Analysis, vol.6, no.1, 2005, 117-136. Search in Google Scholar

P. Cholamjiak, W. Cholamjiak, S. Suantai, Viscosity approximation methods for nonexpansive multi-valued nonself mapping and equilibrium problem, Demon-stratio Mathematica, vol. XLVII, no. 2, 2014. Search in Google Scholar

S. Chang, Y. Tang, L. Wang, G. Wang, Convergence theorems for some multi-valued generalized nonexpansive mappings, Fixed Point Theory and Applications, vol. 33, no. 1, 2014. Search in Google Scholar

C. E. Chidume, Geometric Properties of Banach Spaces and Nonlinear iterations, Lectures Notes in Mathematics (vol. 1965), Springer, London, UK, 2009. Search in Google Scholar

K. Fan, A minimax inequality and applications, in Inequalities III, (O. Shisha, ed.), Academic Press, New York, 1972. Search in Google Scholar

F.O. Isiogugu, M. O. Osilike, Convergence theorems for new classes of multivalued hemicontractive-type mappings, Fixed Point Theory and Applications, vol. 93, 2014. Search in Google Scholar

P. E. Mainge, Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization, Set-Valued Analysis, vol. 16, 2008, 899-912. Search in Google Scholar

G. J. Minty, Monotone (nonlinear) operator in Hilbert space, Duke Math., vol. 29, 1962, 341-346. Search in Google Scholar

A. Moudafi, Viscosity approximation methods for fixed point problems, J. Math. Anal. Appl., vol. 241, 2000, 46-55. Search in Google Scholar

Jr. Nadla, Multivaled contraction mappings, Pacific J. Math.,vol. 30, 1969, 475-488. Search in Google Scholar

J. F. Nash, Non-coperative games, Annals of Mathematics, second series, vol. 54, 1951, 286-295. Search in Google Scholar

J. F. Nash, Equilibrium points in n-person games, Proceedings of the National Academy of Sciences of the United States of America, vol. 36, no. 1, 1950, 48-49. Search in Google Scholar

B. Panyanak, Mann and Ishikawa iteration processes for multi-valued mappings in Banach Spaces, Comput. Math. Appl., vol. 54, 2007, 872-877. Search in Google Scholar

N. Petrot, K. Wattanawitoon, P. Kumam, A hybrid projection method for generalized mixed equilibrium problems and fixed point problems in Banach spaces, Nonlinear Analysis, Hybrid Systems, vol. 4, 2010, 631-643. Search in Google Scholar

D. N. Qu, C. Z. Cheng, A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space, Fixed Point Theory and Applications, vol. 2011, article 17, 2011. Search in Google Scholar

Y. Song, Y. J. Cho, Some notes on Ishikawa iteration for multi-valued mappings, Bull. Korean Math. Soc., vol. 48, no. 3, 2011, 575-584. Search in Google Scholar

M. Sene, P. Faye, N. Djitté, A Krasnoselskii type Algorithm approximating a common Fixed Point of a finite family of multivalued strictly pseudo-contractive mappings in Hilbert spaces, J. Maths. Sci. Adv. Appl., vol. 27, 2014, 59-80. Search in Google Scholar

P. Sunthrayuth, P. Kumam, A new computational technique for common solutions between systems of generalized mixed equilibrium and fixed point problems, Journal of Applied Mathematics, Article ID 230392, 2013, 17 pages. Search in Google Scholar

H. K. Xu, A variable Krasnoselskii-Mann algorithm and the multiple set split feasibility problem, Inverse Problem, vol. 26, 2006, 2021-2034. Search in Google Scholar

H. K. Xu, Iterative algorithms for nonlinear operators, J. London Math. Soc., vol. 66, no. 2, 2002, 240-256. Search in Google Scholar