Common Fixed Point and Coupled Coincidence Point Theorems for $\theta$-$\psi$ Contraction Mappings with Two Metrics Endowed with a Directed Graph

Phakdi Charoensawan, Tanadon Chaobankoh

Abstract


The purpose of this paper is to present some existence and uniqueness results for common fixed point theorems for $\theta$-$\psi$ contraction mappings with two metrics endowed with a directed graph.In addition, by using our main results, we obtain some results about coupled coincidence point endowed with a directed graph.Our results generalize those presented in \cite{Cha,Moreno2015}.

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|ISSN 1686-0209|