Fixed points of Kannan mappings in metric spaces endowed with a graph

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Abstract

Let (X; d) be a metric space endowed with a graph G such that the set V (G) of vertices of G coincides with X. We define the notion of G-Kannan maps and obtain a fixed point theorem for such mappings.

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Bojor, F. (2012). Fixed points of Kannan mappings in metric spaces endowed with a graph. Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 20(1), 31–40. https://doi.org/10.2478/v10309-012-0003-x

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