Generalization of Darbos fixed point theorem via SRμ-contractions with application to integral equations-Reference-Cited by-同舟云学术

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Generalization of Darbos fixed point theorem via SRμ-contractions with application to integral equations

Published:2018 Issue:1 Volume:32 Page:55-69
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Zarinfar Farzad¹,Khojasteh Farshid²,Vaezpour Mansour³

Affiliation:

1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

2. Young Researcher and Elite Club, Arak Branch, Islamic Azad University, Arak, Iran

3. Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran

Abstract

The aim of the current paper is introducing a generalization of Darbo?s fixed point theorem based on SR-functions. In comparison with simulation function, SR-functions are able to cover the Meir-Keeler functions. Thus, the integral equations which are related to L-functions can be solved by our results. In the sequel, we find a solution for an integral equation to support our results.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Darbo Type Best Proximity Point Results via R-function using Measure of Noncompactness with an Application;Iranian Journal of Mathematical Sciences and Informatics;2024-04-01

2. Some Classes of Meir–Keeler Contractions;Approximation and Computation in Science and Engineering;2022

3. Best proximity points for a new type of set-valued mappings;Mathematica Slovaca;2019-12-18

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