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

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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 originaleEnglish
pagine (da-a)1-15
Numero di pagine15
RivistaResults in Mathematics
Volume74
Stato di pubblicazionePublished - 2019

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Fixed Point Problem
Integral equations
Integral Equations
Measure of Noncompactness
Simulation
Fixed point
Generalization
Class

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)
  • Applied Mathematics

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