Strong and weak convergences in 2-probabilistic normed spaces

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

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)454-466
Number of pages13
JournalAdvances in the Theory of Nonlinear Analysis and its Applications
Volume5
Issue number4
DOIs
Publication statusPublished - 2021

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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