Fixed points for F-expanding mappings in the sense of measures of noncompactness

2023/08/24 by Youssef Touail, Touail, Youssef, Amine Jaid +3
Mathematics · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2308.13114

openalex publication_date 2023/08/24 · openalex created_date 2023/08/29 · openalex updated_date 2026/07/28

Abstract

In this article, we model with measures of noncompactness the well-known concept of F-expanding mappings given by Gornicki (Fixed Point Theory Appl 2017, 9 (2016)). Our results are proved by weakening some assumptions on F and without using the surjectivity. Moreover, the paper contains some examples and an application to the Volterra-integral equation.

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