Fixed point theorems for Zamfirescu mappings in metric spaces endowed with a graph


Bojor, Florin and Tilca, Magnolia


Abstract

carpathian_2015_31_3_297_305_abstract

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carpathian_2015_31_3_297_305

Let \left( {X,d} \right) be a metric space endowed with a graph G such that the set V\left( G \right) of vertices of G coincides with X. We define the notion of G-Zamfirescu maps and obtain a fixed point theorem for such mappings. This extends and subsumes many recent results which were obtained for mappings on metric spaces endowed with a graph and for cyclic operators.

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Author(s)

Bojor, Florin, Tilca, Magnolia