A new iteration process for equilibrium, variational inequality, fixed point problems, and zeros of maximal monotone operators in a Banach space

Journal of inequalities and applications

Siwaporn Saewan¹ 

关键词: maximal monotone mappings;    strong convergence;    total quasi-ϕ-asymptotically nonexpansive mappings;    hybrid scheme;    equilibrium problem;    variational inequality problems;   

DOI  :  10.1186/1029-242X-2013-23

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, a new iterative process is introduced to approximate a common element of a fixed point set, the solutions of equilibrium problems, the solution set of variational inequality problems, and the set of zeros of maximal monotone operators in a uniformly smooth and strictly convex Banach space by using a hybrid projection method. Also, we prove new strong convergence theorems for this proposed iterative precess in a Banach space. MSC:47H05, 47H09, 47H10.

【 授权许可】

CC BY