On variations on quasi Cauchy sequences in metric spaces

Basit Öğe Kaydı
dc.authorid0000-0001-7344-5826en_US
dc.contributor.authorİnce Dağcı, Fikriye
dc.contributor.authorÇakallı, Hüseyin
dc.date.accessioned2024-07-12T20:46:32Z
dc.date.available2024-07-12T20:46:32Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractFor a fixed positive i nteger p, a sequence (xn) in a metric space X is c alled p-quasi-Cauchy if (?p xn) is a null sequence where ?p xn = d(xn+p, xn) for each positive integer n. A subset E of X is called p-ward compact if any sequence (xn) of points in E has a p-quasi-Cauchy subsequence. A subset of X is totally bounded if and only if it is p-ward compact. A function f from a subset E of X into a metric space Y is called p-ward continuous if it preserves p-quasi Cauchy sequences, i.e. (f(xn)) is a p-quasi Cauchy sequence in Y whenever (xn) is a p-quasi Cauchy sequence of points of E. A function f from a totally bounded subset of X into Y preserves p-quasi Cauchy sequences if and only if it is uniformly continuous. If a function is uniformly continuous on a subset E of X into Y, then (f(xn) is p-quasi Cauchy in Y whenever (xn) is a quasi cauchy sequence of points in E.en_US
dc.identifier.citationİnce Dağcı, F., Çakallı, H. (2019). On variations on quasi Cauchy sequences in metric spaces. International Conference of Mathematical Sciences. s. 030012(1)-030012(3).en_US
dc.identifier.doi10.1063/1.5095097
dc.identifier.endpage030012-3en_US
dc.identifier.isbn978-0-7354-1816-5
dc.identifier.scopus2-s2.0-85064412037en_US
dc.identifier.startpage030012-1en_US
dc.identifier.urihttps://aip.scitation.org/doi/10.1063/1.5095097
dc.identifier.urihttps://doi.prg/10.1063/1.5095097
dc.identifier.urihttps://hdl.handle.net/20.500.12415/1866
dc.identifier.wosWOS:000472950300017en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesien_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01316
dc.subjectSequencesen_US
dc.subjectSeriesen_US
dc.subjectSummabilityen_US
dc.subjectCompactnessen_US
dc.subjectContinuityen_US
dc.titleOn variations on quasi Cauchy sequences in metric spacesen_US
dc.typeArticle
dspace.entity.typePublication

Dosyalar

Koleksiyon

İnsan ve Toplum Bilimleri Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu