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Coincidence point theorems for graph-preserving multi-valued mappings

Coincidence point theorems for graph-preserving multi-valued mappings

In this paper, we introduce the concepts of graph-preserving multi-valued mapping and a new type of multi-valued weak G-contraction on a metric space endowed with a directed graph G. We prove some coincidence point theorems for this type of multi-valued mapping and a surjective mapping under some conditions. Several examples …