Existence and approximation of solutions for system of generalized mixed variational inequalities

Balwant Singh Thakur; Mohammad Saeed Khan; Shin Min Kang

doi:10.1186/1687-1812-2013-108

Existence and approximation of solutions for system of generalized mixed variational inequalities

Balwant Singh Thakur, Mohammad Saeed Khan, Shin Min Kang^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose an algorithm which converges to its solution and common fixed points of two Lipschitzian mappings. Parallel algorithms are used, which can be used to simultaneous computation in multiprocessor computers. The results presented in this work are more general and include many previously known results as special cases.

Original language	English
Article number	108
Journal	Fixed Point Theory and Applications
Volume	2013
DOIs	https://doi.org/10.1186/1687-1812-2013-108
Publication status	Published - Apr 2013

Keywords

Fixed point problem
Maximal monotone operator
Parallel iterative algorithm
Relaxed cocoercive mapping
Resolvent operator technique
System of generalized mixed variational inequality

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/1687-1812-2013-108

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keywords = "Fixed point problem, Maximal monotone operator, Parallel iterative algorithm, Relaxed cocoercive mapping, Resolvent operator technique, System of generalized mixed variational inequality",

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AU - Kang, Shin Min

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AB - The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose an algorithm which converges to its solution and common fixed points of two Lipschitzian mappings. Parallel algorithms are used, which can be used to simultaneous computation in multiprocessor computers. The results presented in this work are more general and include many previously known results as special cases.

KW - Fixed point problem

KW - Maximal monotone operator

KW - Parallel iterative algorithm

KW - Relaxed cocoercive mapping

KW - Resolvent operator technique

KW - System of generalized mixed variational inequality

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Existence and approximation of solutions for system of generalized mixed variational inequalities

Abstract

Keywords

ASJC Scopus subject areas

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