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(x (k))) is a strongly lacunary quasi-Cauchy sequence whenever (x (k)) is strongly lacunary quasi-Cauchy. In this paper, n...

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Detalles Bibliográficos
Autores principales: Çakalli, Hüseyin, Ersan, Sibel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4094720/
https://www.ncbi.nlm.nih.gov/pubmed/25050397
http://dx.doi.org/10.1155/2014/479679
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author Çakalli, Hüseyin
Ersan, Sibel
author_facet Çakalli, Hüseyin
Ersan, Sibel
author_sort Çakalli, Hüseyin
collection PubMed
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(x (k))) is a strongly lacunary quasi-Cauchy sequence whenever (x (k)) 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.
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spelling pubmed-40947202014-07-21 Strongly Lacunary Ward Continuity in 2-Normed Spaces Çakalli, Hüseyin Ersan, Sibel ScientificWorldJournal Research Article 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(x (k))) is a strongly lacunary quasi-Cauchy sequence whenever (x (k)) 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. Hindawi Publishing Corporation 2014 2014-06-23 /pmc/articles/PMC4094720/ /pubmed/25050397 http://dx.doi.org/10.1155/2014/479679 Text en Copyright © 2014 H. Çakalli and S. Ersan. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Çakalli, Hüseyin
Ersan, Sibel
Strongly Lacunary Ward Continuity in 2-Normed Spaces
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
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4094720/
https://www.ncbi.nlm.nih.gov/pubmed/25050397
http://dx.doi.org/10.1155/2014/479679
work_keys_str_mv AT cakallihuseyin stronglylacunarywardcontinuityin2normedspaces
AT ersansibel stronglylacunarywardcontinuityin2normedspaces

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