Lacunary Ward Continuity in 2-normed Spaces
| dc.authorid | 0000-0001-7344-5826 | en_US |
| dc.authorid | 0000-0002-3270-6863 | en_US |
| dc.contributor.author | Cakalli, Huseyin | |
| dc.contributor.author | Ersan, Sibel | |
| dc.date.accessioned | 2024-07-12T21:47:02Z | |
| dc.date.available | 2024-07-12T21:47:02Z | |
| dc.date.issued | 2015 | en_US |
| dc.department | Maltepe Üniversitesi | en_US |
| dc.description.abstract | In this paper, we introduce lacunary statistical ward continuity in a 2-normed space. A function f defined on a subset E of a 2-normed space X is lacunary statistically ward continuous if it preserves lacunary statistically quasi-Cauchy sequences of points in E where a sequence (x(k)) of points in X is lacunary statistically quasi-Cauchy if lim(r ->infinity) 1/h(r) vertical bar{k is an element of I-r : parallel to x(k+1) - x(k), z parallel to >= epsilon}vertical bar = 0 for every positive real number epsilon and z 1/4 X, and (k(r)) is an increasing sequence of positive integers such that k(0) = 0 and h(r) = k(r) - k(r-1) -> infinity as r -> infinity, I-r = (k(r-1), k(r)]. We investigate not only lacunary statistical ward continuity, but also some other kinds of continuities in 2-normed spaces. | en_US |
| dc.identifier.doi | 10.2298/FIL1510257C | |
| dc.identifier.endpage | 2263 | en_US |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issue | 10 | en_US |
| dc.identifier.scopus | 2-s2.0-84949468566 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 2257 | en_US |
| dc.identifier.uri | https://dx.doi.org/10.2298/FIL1510257C | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/7994 | |
| dc.identifier.volume | 29 | en_US |
| dc.identifier.wos | WOS:000366736800009 | en_US |
| dc.identifier.wosquality | Q3 | en_US |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| 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 | KY01037 | |
| dc.subject | lacunary statistical convergence | en_US |
| dc.subject | quasi-Cauchy sequences | en_US |
| dc.subject | continuity | en_US |
| dc.title | Lacunary Ward Continuity in 2-normed Spaces | en_US |
| dc.type | Article | |
| dspace.entity.type | Publication |
