Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Simeon Reich

Department of Mathematics, The Technion – Israel Institute of Technology, Haifa, Israel

sreich@technion.ac.il

Keywords

  • Complete metric space
  • contraction
  • convex metric space fixed point
  • graph

Mathematics Subject Classification

47H09, 47H10, 54E50

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Suggested citation

S. Reich, A. J. Zaslavski. “Existence of a Fixed Point for Boyd-Wong Type Contractions on Metric Spaces with Graphs.” Journal of Convex Analysis 32 (2025), No. 3, 757–766. https://doi.org/10.68381/jca32037

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Published by Heldermann Verlag, 2025. Rights now held by Banach Press LLC.