Convergence of an Iterative Algorithm for Systems of Variational Inequalities and Nonlinear Mappings in Banach Spaces

• Journal title : Kyungpook mathematical journal
• Volume 55, Issue 4,  2015, pp.933-951
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2015.55.4.933
Title & Authors
Convergence of an Iterative Algorithm for Systems of Variational Inequalities and Nonlinear Mappings in Banach Spaces
JEONG, JAE UG;

Abstract
In this paper, we consider the problem of convergence of an iterative algorithm for a general system of variational inequalities, a nonexpansive mapping and an $\small{{\eta}}$-strictly pseudo-contractive mapping. Strong convergence theorems are established in the framework of real Banach spaces.
Keywords
Nonexpansive mapping;strictly pseudo-contractive mapping;variational inequality;uniformly convex;
Language
English
Cited by
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