### Multivalued FG-Contraction Mappings on Directed Graphs

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**Authors:**H. K. NASHINE AND Z. KADELBURG

**DOI:**10.46793/KgJMat2206.943N

**Abstract:**

In this paper, we study generalized ????????-contraction conditions for a pair of mappings deﬁned on a family of subsets of a metric space endowed with a directed graph, and discuss coincidence and common ﬁxed point results relaxing the continuity of mappings. The given notions and results are exempliﬁed by suitable models. We apply our results to the problem of existence of solutions of a Fredholm integral inclusion.

**Keywords:**

Multivalued contraction, metric space with directed graph, Fredholm integral inclusion.

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