Generalized ideal convergence in probabilistic normed spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 English Publisher:Element d.o.o.Journal:Journal of Classical Analysis (issn: 1848-5987,

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Authors: Hazarika, Bipan;

doi: 10.7153/jca-03-16

Generalized ideal convergence in probabilistic normed spaces

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Abstract

Summary: The aim of this paper is to introduce and study the notion of \(I_\lambda\)-convergence in probabilistic normed space as a variant of the notion of ideal convergence. Also, \(I_\lambda\)-limit point and \(I_\lambda\)-cluster point hase been defined and the relation between them have been established. Finally, we establish example which shows that our method of convergence on probabilistic normed space is more general.

Keywords

\(\lambda\)-convergence, ideal convergence, Ideal and statistical convergence, probabilistic normed space

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