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Three Existence Results in the Fixed Point Theory
Department of Mathematics, The Technion—Israel Institute of Technology, Haifa 32000, Israel
Axioms 2024, 13(7), 425; https://doi.org/10.3390/axioms13070425
Submission received: 7 June 2024
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Revised: 21 June 2024
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Accepted: 21 June 2024
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Published: 25 June 2024
(This article belongs to the Special Issue Trends in Fixed Point Theory and Fractional Calculus)
Abstract
In the present paper, we obtain three results on the existence of a fixed point for nonexpansive mappings. Two of them are generalizations of the result for F-contraction, while third one is a generalization of a recent result for set-valued contractions.
Keywords:
complete metric space; contraction; fixed point; graph; set-valued mapping
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MDPI and ACS Style
Zaslavski, A.J. Three Existence Results in the Fixed Point Theory. Axioms 2024, 13, 425. https://doi.org/10.3390/axioms13070425
AMA Style
Zaslavski AJ. Three Existence Results in the Fixed Point Theory. Axioms. 2024; 13(7):425. https://doi.org/10.3390/axioms13070425
Chicago/Turabian StyleZaslavski, Alexander J. 2024. "Three Existence Results in the Fixed Point Theory" Axioms 13, no. 7: 425. https://doi.org/10.3390/axioms13070425
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