Beta
346423

Convergence, Stability, and Data Dependence Results for a new iteration method in Banach Space

Article

Last updated: 05 Jan 2025

Subjects

-

Tags

Functional analysis

Abstract

In this paper, we introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence, stability, and data dependency results for the approximation of fixed points of the Contractive-like mapping in the framework of uniformly convex Banach space.
In this paper, we introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence, stability, and data dependency results for the approximation of fixed points of the Contractive-like mapping in the framework of uniformly convex Banach space.
In this paper, we introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence, stability, and data dependency results for the approximation of fixed points of the Contractive-like mapping in the framework of uniformly convex Banach space.

DOI

10.21608/ejmaa.2024.253159.1103

Keywords

47H09, 47H10, 47H20

Authors

First Name

Omprakash

Last Name

Sahu

MiddleName

-

Affiliation

Department of Mathematics, Babu Pandhri Rao Kridatt Govt. College Silouti

Email

om2261995@yahoo.com

City

-

Orcid

0000-0002-5832-4273

First Name

Amitabh

Last Name

Banerjee

MiddleName

-

Affiliation

Principal, Govt. J. Y. Chhattisgarh College Raipur, India

Email

amitabh_61@yahoo.com

City

-

Orcid

-

Volume

12

Article Issue

1

Related Issue

40409

Issue Date

2024-01-01

Receive Date

2023-12-04

Publish Date

2024-01-01

Page Start

1

Page End

12

Print ISSN

3009-6731

Online ISSN

2090-729X

Link

https://ejmaa.journals.ekb.eg/article_346423.html

Detail API

https://ejmaa.journals.ekb.eg/service?article_code=346423

Order

346,423

Type

Regular research papers

Type Code

2,651

Publication Type

Journal

Publication Title

Electronic Journal of Mathematical Analysis and Applications

Publication Link

https://ejmaa.journals.ekb.eg/

MainTitle

Convergence, Stability, and Data Dependence Results for a new iteration method in Banach Space

Details

Type

Article

Created At

18 Dec 2024