On tripled fixed point theorems via measure of noncompactness with applications to a system of fractional integral equations-Reference-Cited by-同舟云学术

On tripled fixed point theorems via measure of noncompactness with applications to a system of fractional integral equations

Published:2021 Issue:14 Volume:35 Page:4897-4915
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Parvaneh Vahid¹,Banaei Shahram²,Roshan Jamal³,Mursaleen M.⁴

Affiliation:

1. Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

2. Department of Mathematics, Bonab Branch, Islamic Azad University, Bonab, Iran

3. Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

4. Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan

Abstract

In this paper, an extension of Darbo?s fixed point theorem via the concept of operators A(f;.) and ?-?-contractions in a Banach space has been presented. We illustrate that some conditions of control functions ? and ? can be omitted where they applied previously in [Mohammadi et al., Mathematics, 2020, 8(4), 492]. As an application, we study the existence of solutions for a system of fractional integral equations. Finally, to support the effectiveness of our results, we present an example.

Publisher

National Library of Serbia

Subject

General Mathematics

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