A Convergence Theorem for Solving Generalized Mixed Equilibrium Problems and Finding Fixed Points of a Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces

被引:0
作者
Vahid Darvish
Kittisak Jantakarn
Anchalee Kaewcharoen
Nader Biranvand
机构
[1] Nanjing University of Information Science and Technology,School of Mathematics and Statistics
[2] Naresuan University,Department of Mathematics, Faculty of Science
[3] Imam Ali University,Faculty of Sciences
来源
Acta Mathematica Vietnamica | 2022年 / 47卷
关键词
Banach space; Bregman projection; Bregman distance; Weak Bregman relatively nonexpansive mapping; Fixed point; Generalized mixed equilibrium problem; 47H09; 26B25; 47J25; 58C30;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we study a new iterative method for finding fixed points of a weak Bregman relatively nonexpansive mapping and solutions of generalized mixed equilibrium problems in Banach spaces.
引用
收藏
页码:553 / 569
页数:16
相关论文
共 49 条
  • [1] Agarwal RP(2013)Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces J. Inequal. Appl. 119 2013-700
  • [2] Chen JW(2005)Generalized mixed quasi-equilibrium problems with trifunction Appl. Math. Lett. 18 695-145
  • [3] Cho YJ(1994)From optimization and variational inequalities to equilibrium problems Math. Stud. 63 123-331
  • [4] Aslam Noor M(1994)On general nonlinear complementarity problems and quasi equilibria Matematiche (Catania) 49 313-647
  • [5] Blum E(2001)Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces Commun. Contemp. Math. 3 615-184
  • [6] Oettli W(2011)A characterization of Bregman firmly nonexpansive mappings using a new monotonicity concept J. Nonlinear Convex Anal. 12 161-217
  • [7] Aslam Noor M(1967)The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming U.S.S.R. Comput. Math. Math. Phys. 7 200-470
  • [8] Oettli W(1977)Nonexpansive projections and resolvents of accretive operators in Banach spaces Houst. J. Math. 3 459-174
  • [9] Bauschke HH(2001)Asymptotic behavior of relatively nonexpansive operators in Banach spaces J. Appl. Anal. 7 151-632
  • [10] Borwein JM(2006)There are many totally convex functions J. Convex Anal. 13 623-39