FIXED POINTS OF CONTRACTIVE SET VALUED MAPPINGS WITH SET VALUED DOMAINS ON A METRIC SPACE WITH GRAPH

Abstract

In this article we consider general contractive mappings of the form F : CB X → CB X , where CB X is the set of all nonempty closed and bounded subsets of a complete metric space X endowed with a graph G. We prove some fixed point results for F and discuss how the connectivity of the graph G is related to the fixed points of F.

Keywords

• Fixed point,Connected graph,G-contraction,Metric space

References

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