Winter 2022 FIXED-POINT THEOREMS FOR MEIR–KEELER MULTIVALUED MAPS AND APPLICATION
Maha Belhadj, Jamal Rezaei Roshan, Mohamed Boumaiza, Vahid Parvaneh
J. Integral Equations Applications 34(4): 389-408 (Winter 2022). DOI: 10.1216/jie.2022.34.389

Abstract

This work is intended for a generalization of Darbo’s fixed-point theorem by using multivalued condensing operators, and a measure of weak noncompactness which does not necessarily possess the maximum property. Moreover, we prove some fixed-point theorems in Banach algebras which satisfy an appointed weak sequential condition. As an application, we establish the existence of solutions for a functional integral inclusion.

Citation

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Maha Belhadj. Jamal Rezaei Roshan. Mohamed Boumaiza. Vahid Parvaneh. "FIXED-POINT THEOREMS FOR MEIR–KEELER MULTIVALUED MAPS AND APPLICATION." J. Integral Equations Applications 34 (4) 389 - 408, Winter 2022. https://doi.org/10.1216/jie.2022.34.389

Information

Received: 10 March 2022; Revised: 13 July 2022; Accepted: 3 August 2022; Published: Winter 2022
First available in Project Euclid: 10 January 2023

zbMATH: 07682271
MathSciNet: MR4531463
Digital Object Identifier: 10.1216/jie.2022.34.389

Subjects:
Primary: 45B05 , 47H09 , 47H10

Keywords: Darbo’s fixed-point theorem , integral inclusion , measure of weak noncompactness , Meir–Keeler multimap

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

Vol.34 • No. 4 • Winter 2022
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