Viscosity Iterative Schemes for Finding Split Common Solutions of Variational Inequalities and Fixed Point Problems-Reference-Cited by-同舟云学术

Viscosity Iterative Schemes for Finding Split Common Solutions of Variational Inequalities and Fixed Point Problems

Published:2012 Issue: Volume:2012 Page:1-25
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

He Zhenhua¹,Du Wei-Shih²

Affiliation:

1. Department of Mathematics, Honghe University, Yunnan 661100, China

2. Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, Taiwan

Abstract

We introduce some new iterative schemes based on viscosity approximation method for finding a split common element of the solution set of a pair of simultaneous variational inequalities for inverse strongly monotone mappings in real Hilbert spaces with a family of infinitely nonexpansive mappings. Some strong convergence theorems are also given. Our results generalize and improve some well-known results in the literature and references therein.

Funder

National Science Council

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/470354.pdf

Reference26 articles.

1. Quasi-Variational Inequalities in Topological Linear Locally Convex Hausdorff Spaces

2. The study of maximal elements, fixed points for -majorized mappings and their applications to minimax and variational inequalities in product topological spaces

3. Systems of Simultaneous Generalized Vector Quasiequilibrium Problems and their Applications

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