- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 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 : 5 | Download : 2
Publication Date : 2021-12-30
Article Type : Research
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.Keywords : Menger, linear 2-normed spaces, triangle functions, t-norms