Caristi Fixed Point Theorem in Metric Spaces with a Graph

By Monther Rashed Alfuraidan, Mohamed Amine Khamsi. 2014

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We discuss Caristi’s fixed point theorem for mappings defined on a metric space endowed with a graph. This work should be seen as a generalization of the classical Caristi’s fixed point theorem. It extends some recent works on the extension of Banach contraction principle to metric spaces with graph.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/754ed8decea0e0e6eb6c0317e13be682a9d83958