Common fixed point for multivalued ($\psi$-$G$)-contraction mappings in partial metric spaces with a graph structure

S. Benchabane; Smail Djebali

doi:10.5269/bspm.44992

S. Benchabane Laboratoire ”Th´eorie du Point Fixe et Applications”
Smail Djebali Al Imam Mohammad Ibn Saud Islamic University http://orcid.org/0000-0002-2318-1989

Abstract

In the present work, we first discuss the definition of a multivalued ($\psi$-$G$)-contraction mapping in a metric
space endowed with a graph as introduced in \cite{1} and we suggest a generalization. Then, we prove a common fixed point theorem for multivalued ($\psi$-$G$)-contraction mappings in partial metric spaces endowed with a graph. An example of application illustrates the main existence result and some known existence results are derived.

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Author Biography

Smail Djebali, Al Imam Mohammad Ibn Saud Islamic University

Mathematics and Statistics

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