Quelques r´esultats de point fixe sur un espace m´etrique avec un graphe

Abstract

n this memoir, we discuss an area that overlaps between metric fixed point theory and graph theory. This area yields interesting generalizations of the Banach contraction, φ-contaction, Kannan contraction and Reich contraction on metric, b- metric and modular metric spaces endowed with a graph. These interesting generalizations have allowed the creation a new fixed point theorems in metric spaces with a graph.