Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces

Habtu Zegeye, Naseer Shahzad

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

In this paper, we introduce an iterative process which converges strongly to a common solution of variational inequality problems for two monotone mappings in Banach spaces. Furthermore, our convergence theorem is applied to the convex minimization problem. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings.

Original languageEnglish
Pages (from-to)691-704
Number of pages14
JournalOptimization Letters
Volume5
Issue number4
DOIs
Publication statusPublished - Nov 1 2011

Fingerprint

Monotone Mapping
Variational Inequality Problem
Banach space
Convex Minimization
Iterative Process
Convergence Theorem
Minimization Problem
Converge
Theorem
Class

All Science Journal Classification (ASJC) codes

  • Control and Optimization

Cite this

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abstract = "In this paper, we introduce an iterative process which converges strongly to a common solution of variational inequality problems for two monotone mappings in Banach spaces. Furthermore, our convergence theorem is applied to the convex minimization problem. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings.",
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Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces. / Zegeye, Habtu; Shahzad, Naseer.

In: Optimization Letters, Vol. 5, No. 4, 01.11.2011, p. 691-704.

Research output: Contribution to journalArticle

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