Rational Type Multivalued FG -Contractive Mappings with a Graph

In the present study we aim to present new fixed point results for multivalued maps on a metric space. To do this, we define a new type contraction, that is, rational type multivalued FG-contraction, on a metric space endowed with a graph. Using the proposed contraction, we prove new fixed point results. At the end, we give an illustrative example, which shows the importance of graph on the contractive condition.