Strongly Lacunary Ward Continuity in 2-Normed Spaces
A function f defined on a subset E of a 2-normed space X is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(xk)) is a strongly lacunary quasi-Cauchy sequence whenever (xk) is strongly lacunary quasi-Cauchy. In this paper, not onl...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/479679 |
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| author | Hüseyin Çakalli Sibel Ersan |
| author_facet | Hüseyin Çakalli Sibel Ersan |
| author_sort | Hüseyin Çakalli |
| collection | DOAJ |
| description | A function f defined on a subset E of a 2-normed space X is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(xk)) is a strongly lacunary quasi-Cauchy sequence whenever (xk) is strongly lacunary quasi-Cauchy. In this paper, not only strongly lacunary ward continuity, but also some other kinds
of continuities are investigated in 2-normed spaces. |
| format | Article |
| id | doaj-art-17a7c520d8034a90b10b6534ef3ce90f |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-17a7c520d8034a90b10b6534ef3ce90f2025-08-20T02:02:29ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/479679479679Strongly Lacunary Ward Continuity in 2-Normed SpacesHüseyin Çakalli0Sibel Ersan1Department of Mathematics, Maltepe University, Marmara Eğitim Köyü, 34857 İstanbul, TurkeyFaculty of Engineering and Natural Sciences, Maltepe University, Marmara Eğitim Köyü, 34857 İstanbul, TurkeyA function f defined on a subset E of a 2-normed space X is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(xk)) is a strongly lacunary quasi-Cauchy sequence whenever (xk) is strongly lacunary quasi-Cauchy. In this paper, not only strongly lacunary ward continuity, but also some other kinds of continuities are investigated in 2-normed spaces.http://dx.doi.org/10.1155/2014/479679 |
| spellingShingle | Hüseyin Çakalli Sibel Ersan Strongly Lacunary Ward Continuity in 2-Normed Spaces The Scientific World Journal |
| title | Strongly Lacunary Ward Continuity in 2-Normed Spaces |
| title_full | Strongly Lacunary Ward Continuity in 2-Normed Spaces |
| title_fullStr | Strongly Lacunary Ward Continuity in 2-Normed Spaces |
| title_full_unstemmed | Strongly Lacunary Ward Continuity in 2-Normed Spaces |
| title_short | Strongly Lacunary Ward Continuity in 2-Normed Spaces |
| title_sort | strongly lacunary ward continuity in 2 normed spaces |
| url | http://dx.doi.org/10.1155/2014/479679 |
| work_keys_str_mv | AT huseyincakalli stronglylacunarywardcontinuityin2normedspaces AT sibelersan stronglylacunarywardcontinuityin2normedspaces |