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

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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

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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