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

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Das P., Dutta K., KARAKAYA V.

ABSTRACT AND APPLIED ANALYSIS, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2014
  • Doi Number: 10.1155/2014/909364
  • Journal Name: ABSTRACT AND APPLIED ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Yıldız Technical University Affiliated: Yes

Abstract

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 (Sencimen 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.