On Variations of Quasi-Cauchy Sequences in Cone Metric Spaces
| dc.authorid | 0000-0001-7344-5826 | en_US |
| dc.contributor.author | Cakalli, Huseyin | |
| dc.date.accessioned | 2024-07-12T21:47:00Z | |
| dc.date.available | 2024-07-12T21:47:00Z | |
| dc.date.issued | 2016 | en_US |
| dc.department | Maltepe Üniversitesi | en_US |
| dc.description | 2nd International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM) -- JUN 03-06, 2015 -- Istanbul Commerce Univ, Fac Arts & Sci, Istanbul, TURKEY | en_US |
| dc.description.abstract | A sequence (x(n)) of points in a topological vector space valued cone metric space (X, rho) is called p-quasi-Cauchy if for each c is an element of (K) over circle there exists an n(0) is an element of N such that rho(x(n+p), x(n)) - c is an element of (K) over circle for n >= n(0), where K is a proper, closed and convex pointed cone in a topological vector space Upsilon with (K) over circle not equal empty set. We investigate p-ward continuity in topological vector space valued cone metric spaces. It turns out that p-ward continuity coincides with uniform continuity not only on a totally bounded subset but also on a connected subset of X. | en_US |
| dc.identifier.doi | 10.2298/FIL1603603C | |
| dc.identifier.endpage | 610 | en_US |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-84965098766 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 603 | en_US |
| dc.identifier.uri | https://dx.doi.org/10.2298/FIL1603603C | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/7986 | |
| dc.identifier.volume | 30 | en_US |
| dc.identifier.wos | WOS:000376574100011 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Cakalli, Huseyin | |
| dc.language.iso | en | en_US |
| dc.publisher | UNIV NIS, FAC SCI MATH | en_US |
| dc.relation.ispartof | FILOMAT | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.snmz | KY01029 | |
| dc.subject | Metric spaces | en_US |
| dc.subject | metrizability | en_US |
| dc.subject | summability | en_US |
| dc.subject | convergence | en_US |
| dc.subject | continuity | en_US |
| dc.subject | cone metric | en_US |
| dc.subject | total boundedness | en_US |
| dc.title | On Variations of Quasi-Cauchy Sequences in Cone Metric Spaces | en_US |
| dc.type | Article | |
| dspace.entity.type | Publication |
