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

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

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-12-06
DOI
https://doi.org/10.1142/s1793557125501487
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
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article

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

Driss El Moutawakil, Amine Jaid, Youssef Touail
Asian-European Journal of Mathematics
Fixed Point Theorems Analysis
article

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

Driss El Moutawakil, Amine Jaid, Youssef Touail
article en

Abstract

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

Asian-European Journal of Mathematics
Université Sultan Moulay Slimane (MA), Chouaib Doukkali University (MA), Sidi Mohamed Ben Abdellah University (MA)
Openalex Percentile: Top 56%
Fixed Point Theorems Analysis
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