TY - JOUR
T1 - Strong and weak convergences in 2-probabilistic normed spaces
AU - Harikrishnan, Panackal
AU - Guillen, Bernardo Lafuerza
AU - Agawral, Ravi P.
AU - Moradi, Hamid Reza
N1 - Publisher Copyright:
© 2021, Erdal Karapinar. All rights reserved.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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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U2 - 10.31197/atnaa.921900
DO - 10.31197/atnaa.921900
M3 - Article
AN - SCOPUS:85111432662
SN - 2587-2648
VL - 5
SP - 454
EP - 466
JO - Advances in the Theory of Nonlinear Analysis and its Applications
JF - Advances in the Theory of Nonlinear Analysis and its Applications
IS - 4
ER -