Strong Convergence Theorems of Common Elements for Equilibrium Problems and Fixed Point Problems in Banach Spaces  

作　　者：Xing-hui GAO Hai-yun ZHOU 

机构地区：[1]College of Mathematics and Computer Science,Yanan University,Yanan 716000,China [2]Department of Mathematics,Shijiazhuang Mechanical Engineering University,Shijiazhuang 050003,China

出　　处：《Acta Mathematicae Applicatae Sinica》2012年第2期337-350,共14页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 10771050);Scientific Research Program Funded by Shaanxi Provincial Education Department (No. 11JK0486)

摘　　要：In this paper, we consider hybrid algorithms for finding common elements of the set of common fixed points of two families quasi-C-non-expansive mappings and the set of solutions of an equilibrium problem. We establish strong convergence theorems of common elements in uniformly smooth and strictly convex Banach spaces with the property （K）.In this paper, we consider hybrid algorithms for finding common elements of the set of common fixed points of two families quasi-C-non-expansive mappings and the set of solutions of an equilibrium problem. We establish strong convergence theorems of common elements in uniformly smooth and strictly convex Banach spaces with the property （K）.

关 键 词：strong convergence PROJECTION quasi-Ф-nonexpansive mapping common elements theproperty （K） 

分 类 号：O174.41[理学—数学] O177.2[理学—基础数学]