Strong convergence theorems for equilibrium problems and fixed point problem of multivalued nonexpansive mappings via hybrid projection method

Journal of inequalities and applications

Ali Abkar¹ 

关键词: equilibrium problem;    hybrid projection method;    strong convergence;    common fixed point;    generalized nonexpansive multivalued mapping;   

DOI  :  10.1186/1029-242X-2012-164

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a new iterative process by the hybrid projection method is constructed. Strong convergence of the iterative process to a common element of the set of common fixed points of a finite family of generalized nonexpansive multivalued mappings and the solution set of two equilibrium problems in a Hilbert space is proved. Our results extend some important recent results. MSC:47H10, 47H09.

【 授权许可】

CC BY