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

Balwant Singh Thakur, Mohammad Saeed Khan, Shin Min Kang

Research output: Contribution to journalArticle

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 languageEnglish
Article number108
JournalFixed Point Theory and Applications
Volume2013
DOIs
Publication statusPublished - 2013

Fingerprint

Parallel algorithms
Variational Inequalities
Mathematical operators
Lipschitzian Mapping
Resolvent Operator Technique
Approximation
Common Fixed Point
Multiprocessor
Parallel Algorithms
Converge

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

  • Applied Mathematics
  • Geometry and Topology

Cite this

Existence and approximation of solutions for system of generalized mixed variational inequalities. / Thakur, Balwant Singh; Khan, Mohammad Saeed; Kang, Shin Min.

In: Fixed Point Theory and Applications, Vol. 2013, 108, 2013.

Research output: Contribution to journalArticle

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