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The contraction principle for set valued mappings on a metric space with a graph

✍ Scribed by Ismat Beg; Asma Rashid Butt; S. Radojević

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
305 KB
Volume
60
Category
Article
ISSN
0898-1221

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✦ Synopsis

Let (X, d) be a metric space and F : X ; X be a set valued mapping. We obtain sufficient conditions for the existence of a fixed point of the mapping F in the metric space X endowed with a graph G such that the set V (G) of vertices of G coincides with X and the set of edges of G is E(G) = {(x, y) : (x, y) ∈ X × X }.

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