An entourage approach to the contraction principle in uniform spaces endowed with a graph

Autor:	Aghanians, A., Kamal Fallahi, Nourouzi, K.
Předmět:	47H10 05C40 General Topology (math.GN) FOS: Mathematics Mathematics - General Topology
Zdroj:	Scopus-Elsevier
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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01730502c974c1f85ec4a6688a3f890d http://www.scopus.com/inward/record.url?eid=2-s2.0-84878041411&partnerID=MN8TOARS Zobrazit plný text záznamu