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381153

Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem

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Last updated: 31 Dec 2024

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Abstract

In this paper, we introduce an iterative method to approximate a common solution of a
split equilibrium problem, a variational inequality problem and a fixed point problem for a nonexpansive
mapping in real Hilbert spaces. We prove that the sequences generated by the iterative
scheme converge strongly to a common solution of the split equilibrium problem, the variational
inequality problem and the fixed point problem for a nonexpansive mapping. The results presented
in this paper extend and generalize many previously known results in this research area.

DOI

10.1016/j.joems.2012.10.009

Keywords

Split equilibrium problem, Variational inequality problem, Fixed-point problem, Nonexpansive mapping, Inverse-strongly monotone mapping

Authors

First Name

K.R.

Last Name

Kazmi

MiddleName

-

Affiliation

Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India

Email

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City

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Orcid

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First Name

S.H.

Last Name

Rizvi

MiddleName

-

Affiliation

Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India

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-

City

-

Orcid

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Volume

21

Article Issue

1

Related Issue

50461

Issue Date

2013-04-01

Receive Date

2024-09-23

Publish Date

2013-04-01

Page Start

44

Page End

51

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 21_Issue 1_Pages 44-51.pdf

PDF . 371.6kB

Link

https://joems.journals.ekb.eg/article_381153.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381153

Order

381,153

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem

Details

Type

Article

Created At

21 Dec 2024