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

Autor:	Aghanians, A., Fallahi, K., Nourouzi, K.
Rok vydání:	2013
Předmět:	Mathematics - General Topology 47H10 05C40
Zdroj:	Panamer. Math. J. 23(2013), no. 2, 87-102
Druh dokumentu:	Working Paper
Popis:	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. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1305.3600 Zobrazit plný text záznamu View this record from Arxiv