Journal of Convex Analysis 32 (2025), No. 3, 757--766
Copyright Heldermann Verlag 2025
Existence of a Fixed Point for Boyd-Wong Type Contractions on Metric Spaces with Graphs
Simeon Reich
Department of Mathematics, The Technion -- Israel Institute of Technology, Haifa, Israel
sreich@technion.ac.il
Alexander J. Zaslavski
Department of Mathematics, The Technion -- Israel Institute of Technology, Haifa, Israel
ajzasl@techunix.technion.ac.il
We study Boyd-Wong type contractions on a complete metric space with a graph and show the existence of a fixed point for such mappings. We pay special attention to convex metric spaces.
Keywords: Complete metric space, contraction, convex metric space fixed point, graph.
MSC: 47H09, 47H10, 54E50.
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