A Method for a Solution of Equilibrium Problem and Fixed Point Problem of a Nonexpansive Semigroup in Hilbert's Spaces

Fixexd point theory and applications

NguyenDinh Duong¹  Nguyen Buong² 

[1] Department of Mathematics, Vietnam Maritime University, Hai Phong, Vietnam;Vietnamese Academy of Science and Technology, Institute of Information Technology, Cau Giay, Vietnam

关键词: Convex Subset;    Equilibrium Problem;    Nonexpansive Mapping;    Strong Convergence;    Satisfying Condition;   

DOI  :  10.1155/2011/208434

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We introduce a viscosity approximation method for finding a common element of the set of solutions for an equilibrium problem involving a bifunction defined on a closed, convex subset and the set of fixed points for a nonexpansive semigroup on another one in Hilbert's spaces.

【 授权许可】

CC BY