A New Approach to the Generalization of Darbo’s Fixed Point Problem by Using Simulation Functions with Application to Integral Equations

Calogero Vetro; Mehdi Asadi; Moosa Gabeleh

A New Approach to the Generalization of Darbo’s Fixed Point Problem by Using Simulation Functions with Application to Integral Equations

Calogero Vetro, Mehdi Asadi, Moosa Gabeleh

Matematica e Informatica

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1 Citazioni (Scopus)

Abstract

We investigate the existence of fixed points of self-mappings via simulation functions and measure of noncompactness. We use different classes of additional functions to get some general contractive inequalities. As an application of our main conclusions, we survey the existence of a solution for a class of integral equations under some new conditions. An example will be given to support our results.

Lingua originale	English
pagine (da-a)	1-15
Numero di pagine	15
Rivista	Results in Mathematics
Volume	74
Stato di pubblicazione	Published - 2019

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)
Applied Mathematics

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Vetro, C., Asadi, M., & Gabeleh, M. (2019). A New Approach to the Generalization of Darbo’s Fixed Point Problem by Using Simulation Functions with Application to Integral Equations. Results in Mathematics, 74, 1-15.

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AB - We investigate the existence of fixed points of self-mappings via simulation functions and measure of noncompactness. We use different classes of additional functions to get some general contractive inequalities. As an application of our main conclusions, we survey the existence of a solution for a class of integral equations under some new conditions. An example will be given to support our results.

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