Fixed point theorems for multivalued contractions on b-metric spaces with graph

Abstract

In this paper, we consider multivalued maps defined on a complete b-metric space endowed with direct graph. We discuss some fixed point results for maps, called multivalued Gb-contraction, multivalued weak Gb-contraction and multivalued (Gb,ϕ)-contraction. Our results extend/generalize many pre-existing results in the literature.