Strong and weak convergences in 2-probabilistic normed spaces
Document Type
Article
Publication Title
Advances in the Theory of Nonlinear Analysis and its Applications
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.
First Page
454
Last Page
466
DOI
10.31197/atnaa.921900
Publication Date
1-1-2021
Recommended Citation
Harikrishnan, Panackal; Guillen, Bernardo Lafuerza; Agawral, Ravi P.; and Moradi, Hamid Reza, "Strong and weak convergences in 2-probabilistic normed spaces" (2021). Open Access archive. 3316.
https://impressions.manipal.edu/open-access-archive/3316