We consider relatively Meir-Keeler condensing operators to study the existence of best proximity points (pairs) by using the notion of measure of noncompactness, and extend a result of Aghajani et al. ['Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness', Acta Math. Sci. Ser. B 35 (2015), 552-566]. As an application of our main result, we investigate the existence of an optimal solution for a system of integrodifferential equations.

Gabeleh, M., Vetro, C. (2018). A New Extension of Darbo's Fixed Point Theorem Using Relatively Meir-Keeler Condensing Operators. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 98(2), 286-297 [10.1017/S000497271800045X].

A New Extension of Darbo's Fixed Point Theorem Using Relatively Meir-Keeler Condensing Operators

Vetro, Calogero
2018-01-01

Abstract

We consider relatively Meir-Keeler condensing operators to study the existence of best proximity points (pairs) by using the notion of measure of noncompactness, and extend a result of Aghajani et al. ['Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness', Acta Math. Sci. Ser. B 35 (2015), 552-566]. As an application of our main result, we investigate the existence of an optimal solution for a system of integrodifferential equations.
2018
Settore MAT/05 - Analisi Matematica
Gabeleh, M., Vetro, C. (2018). A New Extension of Darbo's Fixed Point Theorem Using Relatively Meir-Keeler Condensing Operators. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 98(2), 286-297 [10.1017/S000497271800045X].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/332771
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