Open Access
2013 On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals
Pratulananda Das, Kaustubh Dutta, Vatan Karakaya, Sanjoy Ghosal
Abstr. Appl. Anal. 2013: 1-8 (2013). DOI: 10.1155/2013/765060

Abstract

Following the line of (Das et al., 2011, Savas and Das, 2011), we make a new approach in this paper to extend the notion of strong convergence and more general strong statistical convergence (Şençimen and Pehlivan, 2008) using ideals and introduce the notion of strong - and * -statistical convergence and two related concepts, namely, strong -lacunary statistical convergence and strong - λ -statistical convergence in a probabilistic metric space endowed with strong topology. We mainly investigate their interrelationship and study some of their important properties.

Citation

Download Citation

Pratulananda Das. Kaustubh Dutta. Vatan Karakaya. Sanjoy Ghosal. "On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals." Abstr. Appl. Anal. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/765060

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095345
MathSciNet: MR3108647
Digital Object Identifier: 10.1155/2013/765060

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
Back to Top