Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings

Habtu Zegeye, Eric U. Ofoedu, Naseer Shahzad

Research output: Contribution to journalArticle

70 Citations (Scopus)

Abstract

In this paper, we introduce an iterative process which converges strongly to a common element of set of common fixed points of countably infinite family of closed relatively quasi- nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for a γ-inverse strongly monotone mapping in Banach spaces. Our theorems improve, generalize, unify and extend several results recently announced.

Original languageEnglish
Pages (from-to)3439-3449
Number of pages11
JournalApplied Mathematics and Computation
Volume216
Issue number12
DOIs
Publication statusPublished - Aug 15 2010

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Variational Inequality Problem
Equilibrium Problem
Nonexpansive Mapping
Solution Set
Convergence Theorem
Generalized Equilibrium Problem
Inverse-strongly Monotone Mapping
Banach spaces
Iterative Process
Common Fixed Point
Banach space
Converge
Closed
Generalise
Theorem
Family

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Cite this

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Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings. / Zegeye, Habtu; Ofoedu, Eric U.; Shahzad, Naseer.

In: Applied Mathematics and Computation, Vol. 216, No. 12, 15.08.2010, p. 3439-3449.

Research output: Contribution to journalArticle

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