Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function

Naseer Shahzad; Habtu Zegeye; Abdullah Alotaibi

doi:10.1186/1687-1812-2013-343

Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function

Naseer Shahzad, Habtu Zegeye, Abdullah Alotaibi

Mathematics & Statistical Sciences

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

7 Citations (Scopus)

Abstract

In this paper, we introduce an iterative process which converges strongly to a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function. 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
Article number	343
Journal	Fixed Point Theory and Applications
Volume	2013
DOIs	https://doi.org/10.1186/1687-1812-2013-343
Publication status	Published - Jan 1 2013

All Science Journal Classification (ASJC) codes

Geometry and Topology
Applied Mathematics

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AB - In this paper, we introduce an iterative process which converges strongly to a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function. 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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Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function

Abstract

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