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

Autor:	Kaustubh Dutta, Vatan Karakaya, Pratulananda Das
Rok vydání:	2014
Předmět:	Discrete mathematics Statistical cluster Article Subject lcsh:Mathematics Applied Mathematics Limit point Probabilistic logic Cluster (physics) Statistical convergence lcsh:QA1-939 Analysis Mathematics
Zdroj:	Abstr. Appl. Anal. Abstract and Applied Analysis, Vol 2014 (2014)
ISSN:	1687-0409 1085-3375
DOI:	10.1155/2014/909364
Popis:	We consider the recently introduced notion ofℐ-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 strongℐ-statistical cluster points and extremal limit points, and strongℐ-statistical continuity and strongℐ-statisticalD-boundedness in probabilistic normed spaces and study some of their important properties.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dccb86a58604bdf9a9cff02ca3d214ec https://doi.org/10.1155/2014/909364 Zobrazit plný text záznamu Plný text ve formátu PDF