A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping

Mohammed Ali Alghamdi, Naseer Shahzad, Habtu Zegeye

Research output: Contribution to journalArticle

Abstract

We introduce an iterative process which converges strongly to a common point of the solution set of a variational inequality problem for a Lipschitzian monotone mapping and the fixed point set of a continuous pseudocontractive mapping in Hilbert spaces. In addition, a numerical example which supports our main result is presented. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

Original languageEnglish
Article number292
JournalJournal of Inequalities and Applications
Volume2015
Issue number1
DOIs
Publication statusPublished - Dec 26 2015

Fingerprint

Pseudocontractive Mapping
Monotone Mapping
Variational Inequalities
Fixed point
Lipschitzian Mapping
Fixed Point Set
Variational Inequality Problem
Hilbert spaces
Nonlinear Operator
Iterative Process
Solution Set
Hilbert space
Converge
Numerical Examples
Theorem
Class

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

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A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping. / Alghamdi, Mohammed Ali; Shahzad, Naseer; Zegeye, Habtu.

In: Journal of Inequalities and Applications, Vol. 2015, No. 1, 292, 26.12.2015.

Research output: Contribution to journalArticle

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