Fixed point of φ-contraction in metric spaces endowed with a graph
Journal Title: Annals of the University of Craiova - Mathematics and Computer Science Series - Year 2010, Vol 37, Issue 4
Abstract
The purpose of this paper is to present some fixed point results for self-generalized contractions in metric spaces. We obtain suffcient conditions for the existence of a fixed point of the mapping T : X → X in the metric space X endowed with a graph G such that the set V (G) of vertices of G coincides with X.
Authors and Affiliations
Florin Bojor
Keywords
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Fixed point of φ-contraction in metric spaces endowed with a graph
The purpose of this paper is to present some fixed point results for self-generalized contractions in metric spaces. We obtain suffcient conditions for the existence of a fixed point of the mapping T : X → X in the...