Strong and weak convergences in 2-probabilistic normed spaces

Panackal Harikrishnan; Bernardo Lafuerza Guillen; Ravi P. Agawral; Hamid Reza Moradi

doi:10.31197/atnaa.921900

Strong and weak convergences in 2-probabilistic normed spaces

Panackal Harikrishnan
, Bernardo Lafuerza Guillen
, Ravi P. Agawral
, Hamid Reza Moradi

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	454-466
Number of pages	13
Journal	Advances in the Theory of Nonlinear Analysis and its Applications
Volume	5
Issue number	4
DOIs	https://doi.org/10.31197/atnaa.921900
Publication status	Published - 2021

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.31197/atnaa.921900

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AU - Moradi, Hamid Reza

PY - 2021

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Strong and weak convergences in 2-probabilistic normed spaces

Abstract

All Science Journal Classification (ASJC) codes

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