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Ideal Convergence on Probabilistic Normed Spaces

Mohd. Rafi Segi Rahmat

Abstract


In this paper we study the concept of ideal convergence and ideal Cauchy sequences on probabilistic normed (PN) spaces as a generalization of those in classical normed spaces. We prove some important properties of ideal continuity on PN spaces. As an application, we study the concept of ideal convergence of continuous functions between PN spaces.

Keywords


Ideal convergence, Statistical convergence, Statistical cauchy, probabilistic norms

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