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Fixed point results on a metric space endowed with a finite number of graphs and applications

Hajer ArgoubiBessem SametMihai Turinici — 2014

Czechoslovak Mathematical Journal

In this paper, we consider self-mappings defined on a metric space endowed with a finite number of graphs. Under certain conditions imposed on the graphs, we establish a new fixed point theorem for such mappings. The obtained result extends, generalizes and improves many existing contributions in the literature including standard fixed point theorems, fixed point theorems on a metric space endowed with a partial order and fixed point theorems for cyclic mappings.

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