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...

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Bibliographic Details
Main Authors: Lafuerza Guillén, Bernardo, Rafi S. Rahmat, Mohammed
Format: info:eu-repo/semantics/article
Language:English
Published: Note di Matematica 2014
Subjects:
Online Access:http://hdl.handle.net/10835/2749
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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.