Existence of a fixed point and stability results for contractive mappings on metric spaces with graphs
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Published:2024-03-03
Issue:
Volume:
Page:1-12
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ISSN:1230-3429
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Container-title:Topological Methods in Nonlinear Analysis
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language:
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Short-container-title:TMNA
Author:
Reich SimeonORCID,
Zaslavski Alexander J.
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.
Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University