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

Calogero Vetro; Moosa Gabeleh

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

Calogero Vetro, Moosa Gabeleh

Matematica e Informatica

Risultato della ricerca: Article › peer review

5 Citazioni (Scopus)

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 etÂ 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.

Lingua originale	English
pagine (da-a)	286-297
Numero di pagine	12
Rivista	Bulletin of the Australian Mathematical Society
Volume	98
Stato di pubblicazione	Published - 2018

All Science Journal Classification (ASJC) codes

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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{\^A} 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.",

author = "Calogero Vetro and Moosa Gabeleh",

year = "2018",

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journal = "Bulletin of the Australian Mathematical Society",

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AU - Vetro, Calogero

AU - Gabeleh, Moosa

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N2 - 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 etÂ 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.

AB - 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 etÂ 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.

UR - http://hdl.handle.net/10447/332771

UR - http://journals.cambridge.org

M3 - Article

VL - 98

SP - 286

EP - 297

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

SN - 0004-9727

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