On a finite family of variational inclusions with the constraints of generalized mixed equilibrium and fixed point problems

Journal of inequalities and applications

Lu-Chuan Ceng¹ 

关键词: generalized mixed equilibrium;    variational inclusion;    nonexpansive mapping;    asymptotically strict pseudocontractive mapping in the intermediate sense;    maximal monotone mapping;    inverse-strongly monotone mapping;   

DOI  :  10.1186/1029-242X-2014-462

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce two iterative algorithms for finding common solutions of a finite family of variational inclusions for maximal monotone and inverse-strongly monotone mappings with the constraints of two problems: a generalized mixed equilibrium problem and a common fixed point problem of an infinite family of nonexpansive mappings and an asymptotically strict pseudocontractive mapping in the intermediate sense in a real Hilbert space. We prove some strong and weak convergence theorems for the proposed iterative algorithms under suitable conditions. MSC:49J30, 47H09, 47J20, 49M05.

【 授权许可】

CC BY