Hybrid Viscosity Iterative Method for Fixed Point, Variational Inequality and Equilibrium Problems

Fixexd point theory and applications

Yi-Ping Zhang¹  Yi-An Chen¹ 

[1] College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, China

关键词: Hilbert Space;    Real Number;    Variational Inequality;    Convex Subset;    Equilibrium Problem;   

DOI  :  10.1155/2010/264628

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We introduce an iterative scheme by the viscosity iterative method for finding a common element of the solution set of an equilibrium problem, the solution set of the variational inequality, and the fixed points set of infinitely many nonexpansive mappings in a Hilbert space. Then we prove our main result under some suitable conditions.

【 授权许可】

CC BY