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

Gabeleh, M.

Risultato della ricerca: Article

1 Citazione (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 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.
Lingua originaleEnglish
pagine (da-a)286-297
Numero di pagine12
RivistaBulletin of the Australian Mathematical Society
Volume98
Stato di pubblicazionePublished - 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cita questo

@article{651356e16b67436ca5de6fd0c9f3da84,
title = "A New Extension of Darbo's Fixed Point Theorem Using Relatively Meir-Keeler Condensing Operators",
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 = "{Gabeleh, M.} and Calogero Vetro",
year = "2018",
language = "English",
volume = "98",
pages = "286--297",
journal = "Bulletin of the Australian Mathematical Society",
issn = "0004-9727",
publisher = "Cambridge University Press",

}

TY - JOUR

T1 - A New Extension of Darbo's Fixed Point Theorem Using Relatively Meir-Keeler Condensing Operators

AU - Gabeleh, M.

AU - Vetro, Calogero

PY - 2018

Y1 - 2018

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 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.

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 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.

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

ER -