2024 Existence of a fixed point and stability results for contractive mappings on metric spaces with graphs
Simeon Reich, Alexander J. Zaslavski
Topol. Methods Nonlinear Anal. 63(1): 233-244 (2024). DOI: 10.12775/TMNA.2023.045

Abstract

It is known that a strict contraction on complete metric spaces with graphs possesses a fixed point. In the present paper we show that this property holds for mappings on complete metric spaces with graphs which are merely contractive. We also obtain some stability results.

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Simeon Reich. Alexander J. Zaslavski. "Existence of a fixed point and stability results for contractive mappings on metric spaces with graphs." Topol. Methods Nonlinear Anal. 63 (1) 233 - 244, 2024. https://doi.org/10.12775/TMNA.2023.045

Information

Published: 2024
First available in Project Euclid: 20 April 2024

MathSciNet: MR4730844
Digital Object Identifier: 10.12775/TMNA.2023.045

Keywords: complete metric space , contractive mapping , fixed point , graph

Rights: Copyright © 2024 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.63 • No. 1 • 2024
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