New Iterative Scheme for Finite Families of Equilibrium, Variational Inequality, and Fixed Point Problems in Banach Spaces

Fixexd point theory and applications

Caili Zhou¹  Shenghua Wang² 

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

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

DOI  :  10.1155/2011/372975

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We introduced a new iterative scheme for finding a common element in the set of common fixed points of a finite family of quasi-ϕ-nonexpansive mappings, the set of common solutions of a finite family of equilibrium problems, and the set of common solutions of a finite family of variational inequality problems in Banach spaces. The proof method for the main result is simplified under some new assumptions on the bifunctions.

【 授权许可】

CC BY