Strong and weak convergences in 2-probabilistic normed spaces

Strong and weak convergences in 2-probabilistic normed spaces

Authors

  • Harikrishnan PANACKAL*, Bernardo GUİLLEN, Ravi AGARWAL, Hamid MORADİ

Keywords:

Menger, linear 2-normed spaces, triangle functions, t-norms

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.

 

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Published

2023-08-25

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Articles

How to Cite

Strong and weak convergences in 2-probabilistic normed spaces. (2023). Advances in the Theory of Nonlinear Analysis and Its Application, 5(4), 454-466. https://www.atnaea.org/index.php/journal/article/view/217