Fixed Point Results of a New Family of Contractions in Metric Space Endowed with a Graph

In this note, a general class of contractive inequality, namely, admissible hybrid H − α ϕ contraction, is proposed in metric space endowed with graph, and new criteria for which the mapping Picard operator are examined. The significance type contraction connected possibility that its inequality can be particularized more than one way, depending on provided constants. Relevant examples designed to support assumptions our obtained notions show how they different from known ones. A corollary reduces result recently published literature pointed out discussed.