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

Habtu Zegeye, Naseer Shahzad

Research output: Contribution to journalArticle

25 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

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Fixed Point Problem
Banach spaces
Hybrid Method
Approximation Methods
Variational Inequalities
Mathematical operators
Iterative Scheme
Asymptotically Nonexpansive Mapping
Monotone Operator
Equilibrium Problem
Fixed point
Banach space
Converge

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Analysis
  • Computer Science Applications

Cite this

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A hybrid approximation method for equilibrium, variational inequality and fixed point problems. / Zegeye, Habtu; Shahzad, Naseer.

In: Nonlinear Analysis: Hybrid Systems, Vol. 4, No. 4, 01.11.2010, p. 619-630.

Research output: Contribution to journalArticle

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