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

Joint Authors

Karakaya, Vatan
Das, Pratulananda
Dutta, Kaustubh

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-28

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Das, Pratulananda& Dutta, Kaustubh& Karakaya, Vatan. 2014. On Cluster Points, Continuity, and Boundedness Associated with the Generalized Statistical Convergence in Probabilistic Normed Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1015039

Modern Language Association (MLA)

Das, Pratulananda…[et al.]. On Cluster Points, Continuity, and Boundedness Associated with the Generalized Statistical Convergence in Probabilistic Normed Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1015039

American Medical Association (AMA)

Das, Pratulananda& Dutta, Kaustubh& Karakaya, Vatan. On Cluster Points, Continuity, and Boundedness Associated with the Generalized Statistical Convergence in Probabilistic Normed Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1015039

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1015039