Commuting contractive families

DC Field	Value	Language
dc.contributor.author	Milićević, Luka	en
dc.date.accessioned	2020-05-01T20:12:38Z	-
dc.date.available	2020-05-01T20:12:38Z	-
dc.date.issued	2015-01-01	en
dc.identifier.issn	0016-2736	en
dc.identifier.uri	http://researchrepository.mi.sanu.ac.rs/handle/123456789/1045	-
dc.description.abstract	A family f<inf>1</inf>; : : : ; fn of operators on a complete metric space X is called contractive if there exists a positive ≤ λ 1 such that for any x; y in X we have d(fi(x); fi(y)) λ <d(x; y) for some i. Austin conjectured that any commuting contractive family of operators has a common fixed point, and he proved this for the case of two operators. We show that Austin's conjecture is true for three operators, provided that λ is sufficiently small.	en
dc.publisher	Instytut Matematyczny Polskiej Akademii Nauk	-
dc.relation.ispartof	Fundamenta Mathematicae	en
dc.subject	Complete metric spaces \| Contraction mappings	en
dc.title	Commuting contractive families	en
dc.type	Article	en
dc.identifier.doi	10.4064/fm231-3-2	en
dc.identifier.scopus	2-s2.0-84941567437	en
dc.relation.firstpage	225	en
dc.relation.lastpage	272	en
dc.relation.issue	3	en
dc.relation.volume	231	en
dc.description.rank	M22	-
item.grantfulltext	none	-
item.cerifentitytype	Publications	-
item.fulltext	No Fulltext	-
item.openairecristype	http://purl.org/coar/resource_type/c_18cf	-
item.openairetype	Article	-
crisitem.author.orcid	0000-0002-1427-7241	-

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