Strong Convergence Theorems for an Infinite Family of Equilibrium Problems and Fixed Point Problems for an Infinite Family of Asymptotically Strict Pseudocontractions

Fixexd point theory and applications

ShinMin Kang¹  YoungChel Kwun²  Shenghua Wang³ 

[1] Department of Mathematics and RINS, Gyeongsang National University, Jinju, Republic of Korea;Department of Mathematics, Dong-A University, Pusan, Republic of Korea;School of Applied Mathematics and Physics, North China Electric Power University, Baoding, China

关键词: Hilbert Space;    Convex Subset;    Equilibrium Problem;    Nonexpansive Mapping;    Iterative Scheme;   

DOI  :  10.1155/2011/859032

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We prove a strong convergence theorem for an infinite family of asymptotically strict pseudo-contractions and an infinite family of equilibrium problems in a Hilbert space. Our proof is simple and different from those of others, and the main results extend and improve those of many others.

【 授权许可】

CC BY