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arXiv:1305.3600 [math.GN]AbstractReferencesReviewsResources

An Entourage Approach to the Contraction Principle in Uniform Spaces Endowed with a Graph

A. Aghanians, K. Fallahi, K. Nourouzi

Published 2013-05-15Version 1

In this paper, we study Banach contractions in uniform spaces endowed with a graph and give some sufficient conditions for a mapping to be a Picard operator. Our main results generalize some results of [J. Jachymski, "The contraction principle for mappings on a metric space with a graph", Proc. Amer. Math. Soc. 136 (2008) 1359-1373] employing the basic entourages of the uniform space.

Comments: 20 pages
Journal: Panamer. Math. J. 23(2013), no. 2, 87-102
Categories: math.GN
Subjects: 47H10, 05C40
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