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

Habtu Zegeye; Naseer Shahzad

doi:10.1007/s11590-010-0235-5

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

Habtu Zegeye, Naseer Shahzad

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

39 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 language	English
Pages (from-to)	691-704
Number of pages	14
Journal	Optimization Letters
Volume	5
Issue number	4
DOIs	https://doi.org/10.1007/s11590-010-0235-5
Publication status	Published - Nov 1 2011

All Science Journal Classification (ASJC) codes

Control and Optimization

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title = "Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces",

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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AB - 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

Abstract

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