Solving Integral Equations via Fixed Point Results Involving Rational-Type Inequalities

被引：3

作者：

Khayyam, Syed Shah ^{[1
]}

Sarwar, Muhammad ^{[1
]}

Khan, Asad ^{[1
]}

Mlaiki, Nabil ^{[2
]}

Azmi, Fatima M. ^{[2
]}

机构：

[1] Univ Malakand, Dept Math, Chakdara 18800, Dir Lower, Pakistan

[2] Price Sultan Univ, Dept Math & Sci, Riyadh 12435, Saudi Arabia

来源：

AXIOMS | 2023年 / 12卷 / 07期

关键词：

complex valued b-metric space; fixed point; compatible mappings; rational contractions; integral equations; B-METRIC SPACES; THEOREM;

D O I：

10.3390/axioms12070685

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we establish unique and common fixed point results in the context of a complete complex-valued b-metric space using rational-type inequalities. The presented work generalizes some well-known results from the existing literature. Furthermore, to ensure the validity of the findings, we have included some examples and a section on the existence of solutions for the systems of Volterra-Hammerstein integral equations and Urysohn integral equations, respectively.

引用

页数：20

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