On Darbo- and Sadovskii-Type Fixed Point Theorems in Banach Spaces

The paper aims to generalize several known Darbo- and Sadovskii-type fixed point theorems. These generalizations weaken the assumptions used so far. In addition, an example of an application is presented.

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Bibliographic Details
Published in:Symmetry (Basel) 2024-04, Vol.16 (4), p.392
Main Authors: Olszowy, Leszek, Zając, Tomasz
Format: Article
Language:English
Subjects:
Banach spaces
convex-power mappings
Darbo- and Sadovskii-type fixed point theorem
Fixed points (mathematics)
measure of noncompactness
Theorems
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Description
Summary:The paper aims to generalize several known Darbo- and Sadovskii-type fixed point theorems. These generalizations weaken the assumptions used so far. In addition, an example of an application is presented.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym16040392