Geodesic
Measure of noncompactness and JS-Prešić fixed point theorems and its applications to a system of integral equations
Filomat, Tome 35 (2021) no. 9, p. 3091

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DOI

In this paper, we gain a new extension of well-known Darbo's fixed point theorem in a Banach space. Our results provide several expressions which all are generalizations of Darbo's fixed point theorem. As applications, we obtain some Prešić type extensions of Darbo fixed point theorem which help us in the studying of the existence of solution for a system of functional integral equations in BC(R +). Finally, we provided an example to demonstrate the efficacy of our results
DOI : 10.2298/FIL2109091P
Classification : 47H08, 47H10
Keywords: Fixed point, measure of noncompactness, contraction, integral equation systems 
Mohsen Parvaneh; Ali Farajzadeh. Measure of noncompactness and JS-Prešić fixed point theorems and its applications to a system of integral equations. Filomat, Tome 35 (2021) no. 9, p. 3091 . doi: 10.2298/FIL2109091P
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     author = {Mohsen Parvaneh and Ali Farajzadeh},
     title = {Measure of noncompactness and {JS-Pre\v{s}i\'c} fixed point theorems and its applications to a system of integral equations},
     journal = {Filomat},
     pages = {3091 },
     year = {2021},
     volume = {35},
     number = {9},
     doi = {10.2298/FIL2109091P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2109091P/}
}
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