A new solution to the Rhoades' open problem with an application

Özgür, Nihal; Taş, Nihal

dc.contributor.author	Özgür, Nihal
dc.contributor.author	Taş, Nihal
dc.date.accessioned	2022-02-25T10:29:31Z
dc.date.available	2022-02-25T10:29:31Z
dc.date.issued	2021	en_US
dc.identifier.issn	1844-6094-2066-7752
dc.identifier.uri	https://doi.org/10.2478/ausm-2021-0026
dc.identifier.uri	https://hdl.handle.net/20.500.12462/12043
dc.description.abstract	We give a new solution to the Rhoades' open problem on the discontinuity at fixed point via the notion of an S-metric. To do this, we develop a new technique by means of the notion of a Zamfirescu mapping. Also, we consider a recent problem called the "fixed-circle problem" and propose a new solution to this problem as an application of our technique.	en_US
dc.description.sponsorship	Balikesir University BAP 2018/019 BAP 2018/021	en_US
dc.language.iso	eng	en_US
dc.publisher	Sciendo	en_US
dc.relation.isversionof	10.2478/ausm-2021-0026	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	Discontinuity	en_US
dc.subject	Fixed Point	en_US
dc.subject	S-Metric	en_US
dc.subject	Fixed-Circle Problem	en_US
dc.title	A new solution to the Rhoades' open problem with an application	en_US
dc.type	article	en_US
dc.relation.journal	Acta Universitatis Sapientiae, Mathematica	en_US
dc.contributor.department	Fen Edebiyat Fakültesi	en_US
dc.contributor.authorID	0000-0002-8152-1830	en_US
dc.contributor.authorID	0000-0002-4535-4019	en_US
dc.identifier.volume	13	en_US
dc.identifier.issue	2	en_US
dc.identifier.startpage	427	en_US
dc.identifier.endpage	441	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı	en_US