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

被引：0
作者：
Lu-Chuan Ceng
Chi-Ming Chen
Chin-Tzong Pang
机构：
[1] Shanghai Normal University,Department of Mathematics
[2] Scientific Computing Key Laboratory of Shanghai Universities,Department of Applied Mathematics
[3] National Hsinchu University of Education,Department of Information Management
[4] Yuan Ze University,Innovation Center for Big Data and Digital Convergence
[5] Yuan Ze University,undefined
来源：
Journal of Inequalities and Applications | / 2014卷
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;
D O I：
暂无
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学科分类号：
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.
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