Some fixed point and stability results in $ b $-metric-like spaces with an application to integral equations on time scales-Reference-Cited by-同舟云学术

Some fixed point and stability results in $ b $-metric-like spaces with an application to integral equations on time scales

Published:2024 Issue:5 Volume:9 Page:11335-11351
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Kalkan Zeynep¹,Şahin Aynur¹,Aloqaily Ahmad²³,Mlaiki Nabil²

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Sakarya University, Sakarya, 54050, Turkey

2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia

3. School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney, 2150, Australia

Abstract

<abstract><p>This paper presents the stability theorem for the $ T $-Picard iteration scheme and establishes the existence and uniqueness theorem for fixed points concerning $ T $-mean nonexpansive mappings within $ b $-metric-like spaces. The outcome of our fixed point theorem substantiated the existence and uniqueness of solutions to the Fredholm-Hammerstein integral equations defined on time scales. Additionally, we provided two numerical examples from distinct time scales to support our findings empirically.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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