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

Youssef Touail, Amine Jaid, Driss El Moutawakil

Published 2023-08-24Version 1

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.