A hybrid approximation method for equilibrium, variational inequality and fixed point problems

Habtu Zegeye, Naseer Shahzad

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

The purpose of this paper is to present an iterative scheme by a hybrid method for finding a common element of the fixed points of Ø-asymptotically nonexpansive mapping, the set of solutions of the equilibrium problem and the set of solutions of the variational inequality for an inverse strongly monotone operator in the framework of Banach spaces. We show that the iterative scheme converges strongly to a common element of the above three sets under appropriate conditions.

Original languageEnglish
Pages (from-to)619-630
Number of pages12
JournalNonlinear Analysis: Hybrid Systems
Volume4
Issue number4
DOIs
Publication statusPublished - Nov 1 2010

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Analysis
  • Computer Science Applications

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