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

被引：3

作者：

Kalkan, Zeynep ^{[1
]}

Sahin, Aynur ^{[1
]}

Aloqaily, Ahmad ^{[2
,3
]}

Mlaiki, Nabil ^{[2
]}

机构：

[1] Sakarya Univ, Fac Sci, Dept Math, TR-54050 Sakarya, Turkiye

[2] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[3] Western Sydney Univ, Sch Comp Data & Math Sci, Sydney 2150, Australia

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 05期

关键词：

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

D O I：

10.3934/math.2024556

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：11335 / 11351

页数：17

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