Strong convergence theorems for a solution of finite families of equilibrium and variational inequality problems

H. Zegeye; N. Shahzad

doi:10.1080/02331934.2011.635205

Strong convergence theorems for a solution of finite families of equilibrium and variational inequality problems

H. Zegeye, N. Shahzad

Mathematics & Statistical Sciences

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

8 Citations (Scopus)

Abstract

We introduce an iterative process for finding an element of common solutions of finite family of equilibrium problems and finite family of variational inequality problems for continuous monotone mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of non-linear operators.

Original language	English
Pages (from-to)	207-223
Number of pages	17
Journal	Optimization
Volume	63
Issue number	2
DOIs	https://doi.org/10.1080/02331934.2011.635205
Publication status	Published - Feb 1 2014

All Science Journal Classification (ASJC) codes

Control and Optimization
Management Science and Operations Research
Applied Mathematics

Access to Document

10.1080/02331934.2011.635205

Cite this

@article{582494cc9f334a9eaf4cdbf33dcba7e0,

title = "Strong convergence theorems for a solution of finite families of equilibrium and variational inequality problems",

abstract = "We introduce an iterative process for finding an element of common solutions of finite family of equilibrium problems and finite family of variational inequality problems for continuous monotone mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of non-linear operators.",

author = "H. Zegeye and N. Shahzad",

year = "2014",

month = feb,

day = "1",

doi = "10.1080/02331934.2011.635205",

language = "English",

volume = "63",

pages = "207--223",

journal = "Optimization",

issn = "0233-1934",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - Strong convergence theorems for a solution of finite families of equilibrium and variational inequality problems

AU - Zegeye, H.

AU - Shahzad, N.

PY - 2014/2/1

Y1 - 2014/2/1

N2 - We introduce an iterative process for finding an element of common solutions of finite family of equilibrium problems and finite family of variational inequality problems for continuous monotone mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of non-linear operators.

AB - We introduce an iterative process for finding an element of common solutions of finite family of equilibrium problems and finite family of variational inequality problems for continuous monotone mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of non-linear operators.

UR - http://www.scopus.com/inward/record.url?scp=84893555456&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893555456&partnerID=8YFLogxK

U2 - 10.1080/02331934.2011.635205

DO - 10.1080/02331934.2011.635205

M3 - Article

AN - SCOPUS:84893555456

SN - 0233-1934

VL - 63

SP - 207

EP - 223

JO - Optimization

JF - Optimization

IS - 2

ER -

Strong convergence theorems for a solution of finite families of equilibrium and variational inequality problems

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this