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Journals / Advances in the Theory of Nonlinear Analysis and its Application / 2021 / Cilt: 5 - Sayı: 4

Strong and weak convergences in 2-probabilistic normed spaces

Harikrishnan PANACKAL, Bernardo GUİLLEN, Ravi AGARWAL, Hamid MORADİ

Pages
454–466
DOI
—

Abstract

In this paper, we have introduced the notions of strong and weak convergences in 2-probabilistic normed spaces (2-PN spaces) and established some of its properties. Later, we have defined the strong and weak boundedness of a linear map between two 2-PN spaces and proved a necessary and sufficient condition for the linear map between two 2-PN spaces to be strongly and weakly bounded.