Statistical convergence in strong topology of probabilistic normed spaces

Following the concept of statistical convergence, we define and study statistical analog concepts of convergence and Cauchy's sequence on a probabilistic normed space that is endowed with a strong topology. Some important properties of statistical convergence have been extended in this new sett...

Fuld beskrivelse

Bibliografiske detaljer
Main Authors: Lafuerza Guillén, Bernardo, Rafi S. Rahmat, Mohammed
Format: info:eu-repo/semantics/article
Sprog:English
Udgivet: Note di Matematica 2014
Fag:
Online adgang:http://hdl.handle.net/10835/2749
Beskrivelse
Summary:Following the concept of statistical convergence, we define and study statistical analog concepts of convergence and Cauchy's sequence on a probabilistic normed space that is endowed with a strong topology. Some important properties of statistical convergence have been extended in this new setting.