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june 2019 Some fixed point theorems for Meir-Keeler condensing operators and application to a system of integral equations
Maha Belhadj, Afif Ben Amar, Mohamed Boumaiza
Bull. Belg. Math. Soc. Simon Stevin 26(2): 223-239 (june 2019). DOI: 10.36045/bbms/1561687563

Abstract

We introduce the concept of Meir-Keeler condensing operator in a Banach space via an arbitrary measure of weak noncompactness. We prove some generalizations of Darbo's fixed point theorem by considering a measure of weak noncompactness which not necessary has the maximum property. We prove some coupled fixed point theorems and we apply them in order to establish the existence of weak solutions for a system of functional integral equations of Volterra type.

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Maha Belhadj. Afif Ben Amar. Mohamed Boumaiza. "Some fixed point theorems for Meir-Keeler condensing operators and application to a system of integral equations." Bull. Belg. Math. Soc. Simon Stevin 26 (2) 223 - 239, june 2019. https://doi.org/10.36045/bbms/1561687563

Information

Published: june 2019
First available in Project Euclid: 28 June 2019

zbMATH: 07094826
MathSciNet: MR3975826
Digital Object Identifier: 10.36045/bbms/1561687563

Subjects:
Primary: 45B05, 47H09, 47H10, 47H30

Rights: Copyright © 2019 The Belgian Mathematical Society

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Vol.26 • No. 2 • june 2019
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