On Cluster Points, Continuity, and Boundedness Associated with the Generalized Statistical Convergence in Probabilistic Normed Spaces

Autor:	Pratulananda Das, Kaustubh Dutta, Vatan Karakaya
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	Mathematics QA1-939
Zdroj:	Abstract and Applied Analysis, Vol 2014 (2014)
Druh dokumentu:	article
ISSN:	1085-3375 1687-0409
DOI:	10.1155/2014/909364
Popis:	We consider the recently introduced notion of ℐ-statistical convergence (Das, Savas and Ghosal, Appl. Math. Lett., 24(9) (2011), 1509–1514, Savas and Das, Appl. Math. Lett. 24(6) (2011), 826–830) in probabilistic normed spaces and in the following (Şençimen and Pehlivan (2008 vol. 26, 2008 vol. 87, 2009)) we introduce the notions like strong ℐ-statistical cluster points and extremal limit points, and strong ℐ-statistical continuity and strong ℐ-statistical D-boundedness in probabilistic normed spaces and study some of their important properties.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c9aee27373b94d149c5307ba1a776d52 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF