This article demonstrates fixed points for F-expanding mappings in mathematical modeling, highlighting implications for Volterra-integral equations.
In this article, we model with measures of noncompactness the well-known concept of F-expanding mappings given by Górnicki (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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Driss El Moutawakil (2025) studied this question.
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