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

被引：0

作者：

Ni, Ren-Xing ^{[1
,2
]}

Jin, Jian-Shuai ^{[1
,2
]}

Wen, Ching-Feng ^{[3
]}

机构：

[1] Shaoxing Univ, Dept Math, Jinhua 312000, Zhejiang, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[3] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 807, Taiwan

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

asymptotically quasi-phi-nonexpansive mapping in the intermediate sense; generalized projection; equilibrium problem; relaxed eta-alpha-monotone; fixed point; FIXED-POINT PROBLEMS; BANACH-SPACES; INEQUALITIES; ALGORITHMS; WEAK;

D O I：

10.1186/s13663-015-0404-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate common solutions to a family of mixed equilibrium problems with a relaxed eta-alpha-monotone mapping and a nonlinear operator equation involving an infinite family of asymptotically quasi-phi-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.

引用

页数：23

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