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A viscosity Cesa`ro mean approximation method for split generalized vector equilibrium problem and fixed point problem

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Last updated: 31 Dec 2024

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Abstract

In this paper, we introduce and study an explicit iterative method to approximate a common solution of split generalized vector equilibrium problem and fixed point problem for a finite
family of nonexpansive mappings in real Hilbert spaces using the viscosity Cesa`ro mean approximation. We prove a strong convergence theorem for the sequences generated by the proposed iterative scheme. Further we give a numerical example to justify our main result. The results presented
in this paper generalize, improve and unify the previously known results in this area.

DOI

10.1016/j.joems.2014.05.001

Keywords

Split generalized vector equilibrium problem, Fixed-point problem, Nonexpansive mapping, Viscosity cesa`ro mean approximation method

Authors

First Name

K.R.

Last Name

Kazmi

MiddleName

-

Affiliation

Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

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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 202002, India

Email

-

City

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Orcid

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First Name

Mohd.

Last Name

Farid

MiddleName

-

Affiliation

Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

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-

City

-

Orcid

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Volume

23

Article Issue

2

Related Issue

50528

Issue Date

2015-07-01

Receive Date

2024-09-29

Publish Date

2015-07-01

Page Start

362

Page End

370

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 2_Pages 362-370.pdf

PDF . 591.7kB

Link

https://joems.journals.ekb.eg/article_382540.html

Detail API

https://joems.journals.ekb.eg/service?article_code=382540

Order

382,540

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

A viscosity Cesa`ro mean approximation method for split generalized vector equilibrium problem and fixed point problem

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Article

Created At

21 Dec 2024