Strong convergence theorems for equilibrium problems and asymptotically quasi- ϕ -nonexpansive mappings in the intermediate sense

Fixexd point theory and applications

Ren-Xing Ni¹  Ching-Feng Wen¹  Jian-Shuai Jin² 

[1] Department of Mathematics, Shaoxing University, Zhejiang, China;Department of Mathematics, Zhejiang Normal University, Zhejiang, China

关键词: asymptotically quasi-ϕ-nonexpansive mapping in the intermediate sense;    generalized projection;    equilibrium problem;    relaxed η-α-monotone;    fixed point;    46B20;    46T99;    47H05;    47H10;    47J05;    47J25;    54C20;   

DOI  :  10.1186/s13663-015-0404-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate common solutions to a family of mixed equilibrium problems with a relaxed η-α-monotone mapping and a nonlinear operator equation involving an infinite family of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense. Strong convergence theorems of common solutions are established in a strictly convex and uniformly smooth Banach space. These results extend many important recent ones in the literature.

【 授权许可】

CC BY