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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