Strong convergence theorems for equilibrium problems and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
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- 作者：Ren-Xing Ni ; Jian-Shuai Jin ; Ching-Feng Wen
- 关键词：asymptotically quasi ; ϕ ; nonexpansive mapping in the intermediate sense ; generalized projection ; equilibrium problem ; relaxed η ; α ; monotone ; fixed point
- 刊名：Fixed Point Theory and Applications
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：2015
- 期：1
- 全文大小：1,666 KB
- 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
- 出版者：Springer International Publishing
- ISSN：1687-1812
文摘
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.