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.
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页数：23
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