Strong and weak convergences in 2-probabilistic normed spaces

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:5 Issue:4
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

Pages : 454-466

Doi:10.31197/atnaa.921900

View : 11 | Download : 10

Publication Date : 2021-12-30

Article Type : Research Paper

Abstract :In this paper, we have introduced the notions of strong and weak convergences in 2-probabilistic normed spaces insert ignore into journalissuearticles values(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.
Keywords : Menger, linear 2 normed spaces, triangle functions, t norms

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