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

Year 2014, Volume: 4 Issue: 2, 169 - 174, 01.12.2014

P. Debnath

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

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