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 languageEnglish
Article number343
JournalFixed Point Theory and Applications
Volume2013
DOIs
Publication statusPublished - 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

@article{1dc836ef0ddf479490fc1074dafdc4d8,
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.",
author = "Naseer Shahzad and Habtu Zegeye and Abdullah Alotaibi",
year = "2013",
month = "1",
day = "1",
doi = "10.1186/1687-1812-2013-343",
language = "English",
volume = "2013",
journal = "Fixed Point Theory and Applications",
issn = "1687-1820",
publisher = "Springer Publishing Company",

}

TY - JOUR

T1 - Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function

AU - Shahzad, Naseer

AU - Zegeye, Habtu

AU - Alotaibi, Abdullah

PY - 2013/1/1

Y1 - 2013/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84902214691&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84902214691&partnerID=8YFLogxK

U2 - 10.1186/1687-1812-2013-343

DO - 10.1186/1687-1812-2013-343

M3 - Article

VL - 2013

JO - Fixed Point Theory and Applications

JF - Fixed Point Theory and Applications

SN - 1687-1820

M1 - 343

ER -