Variational inequalities and their solutions via fixed points

Reny George, M. S. Khan, K. P. Reshma

Research output: Contribution to journalArticle

Abstract

Some common fixed point theorems in metric and normed spaces are proved using the concept of biased mappings - a generalization of compatible mappings. Our results generalize and extend several known results proved by other authors. We have also applied our result in normed space to obtain iterative solution of certain variational inequalities.

Original languageEnglish
Pages (from-to)17-27
Number of pages11
JournalAdvances in Nonlinear Variational Inequalities
Volume12
Issue number1
Publication statusPublished - 2009

Fingerprint

Variational Inequalities
Fixed point
Normed Space
Compatible Mappings
Iterative Solution
Common Fixed Point
Biased
Metric space
Fixed point theorem
Generalise
Generalization
Concepts

Keywords

  • Biased maps
  • Coincidence and common fixed points
  • Variational inequalities

ASJC Scopus subject areas

  • Analysis

Cite this

Variational inequalities and their solutions via fixed points. / George, Reny; Khan, M. S.; Reshma, K. P.

In: Advances in Nonlinear Variational Inequalities, Vol. 12, No. 1, 2009, p. 17-27.

Research output: Contribution to journalArticle

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