Iterative methods for mixed equilibrium problems and strictly pseudocontractive mappings

Fixexd point theory and applications

Jong Soo Jung¹ 

[1] Department of Mathematics, Dong-A University, Busan, Korea

关键词: mixed equilibrium problem;    k-strictly pseudocontractive mapping;    nonexpansive mapping;    fixed points;    ρ-Lipschitzian and η-strongly monotone operator;    variational inequality;   

DOI  :  10.1186/1687-1812-2012-184

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce new implicit and explicit iterative schemes for finding a common element of the set of solutions of the mixed equilibrium problem and the set of fixed points of a k-strictly pseudocontractive non-self mapping in Hilbert spaces. We establish results of the strong convergence of the sequences generated by the proposed schemes to a common point of two sets, which is a solution of a certain variational inequality. Our results extend and improve the corresponding results given by many authors recently in this area. MSC:47H05, 47H06, 47H09, 47H10, 47J25, 47J05, 49M05.

【 授权许可】

CC BY