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.
|Number of pages||13|
|Journal||Advances in the Theory of Nonlinear Analysis and its Applications|
|Publication status||Published - 2021|
All Science Journal Classification (ASJC) codes
- Applied Mathematics