# 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

Research output: Contribution to journalArticle

5 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 343 Fixed Point Theory and Applications 2013 https://doi.org/10.1186/1687-1812-2013-343 Published - Jan 1 2013

### Fingerprint

Bregman Functions
Bregman Distance
Monotone Mapping
Variational Inequality Problem
Distance Function
Convergence Results
Convex Minimization
Iterative Process
Convergence Theorem
Minimization Problem
Converge
Theorem
Family

### All Science Journal Classification (ASJC) codes

• Geometry and Topology
• Applied Mathematics

### Cite this

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title = "Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function",
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.",
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In: Fixed Point Theory and Applications, Vol. 2013, 343, 01.01.2013.

Research output: Contribution to journalArticle

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AU - Alotaibi, Abdullah

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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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