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

Zeynep Kalkan; Aynur Şahin; Ahmad Aloqaily; Nabil Mlaiki

doi:10.3934/math.2024556

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

Zeynep Kalkan
, Aynur Şahin
, Ahmad Aloqaily
, Nabil Mlaiki

Sakarya University
Department of Mathematics and Sciences
Prince Sultan University (PSU)

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

10 Citations (Scopus)

41 Downloads (Pure)

Abstract

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.

Original language	English
Pages (from-to)	11335-11351
Number of pages	17
Journal	AIMS Mathematics
Volume	9
Issue number	5
DOIs	https://doi.org/10.3934/math.2024556
Publication status	Published - 2024

Bibliographical note

Publisher Copyright:
© 2024 the Author(s), licensee AIMS Press.

Keywords

b-metric-like space
fixed point
Hammerstein integral equation
stability
T-mean nonexpansive mapping
time scale

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10.3934/math.2024556Licence: CC BY

Full textFinal published version, 250 KBLicence: CC BY

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KW - Hammerstein integral equation

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KW - T-mean nonexpansive mapping

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

Abstract

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Keywords

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