Compactness and D-boundedness in menger’s 2-probabilistic normed spaces

P. K. Harikrishnan, Bernardo Lafuerza Guillén, K. T. Ravindran

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The idea of convex sets and various related results in 2-Probabilistic normed spaces were established in [7]. In this paper, we obtain the concepts of convex series closedness, convex series compactness, boundedness and their interrelationships in Menger’s 2-probabilistic normed space. Finally, the idea of D- Boundedness in Menger’s 2-probabilistic normed spaces and Menger’s Generalized 2-Probabilistic Normed spaces are discussed.

Original languageEnglish
Pages (from-to)1263-1272
Number of pages10
JournalFilomat
Volume30
Issue number5
DOIs
Publication statusPublished - 01-01-2016

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Normed Space
Compactness
Boundedness
Series
Convex Sets

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Harikrishnan, P. K., Guillén, B. L., & Ravindran, K. T. (2016). Compactness and D-boundedness in menger’s 2-probabilistic normed spaces. Filomat, 30(5), 1263-1272. https://doi.org/10.2298/FIL1605263H
Harikrishnan, P. K. ; Guillén, Bernardo Lafuerza ; Ravindran, K. T. / Compactness and D-boundedness in menger’s 2-probabilistic normed spaces. In: Filomat. 2016 ; Vol. 30, No. 5. pp. 1263-1272.
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Harikrishnan, PK, Guillén, BL & Ravindran, KT 2016, 'Compactness and D-boundedness in menger’s 2-probabilistic normed spaces', Filomat, vol. 30, no. 5, pp. 1263-1272. https://doi.org/10.2298/FIL1605263H

Compactness and D-boundedness in menger’s 2-probabilistic normed spaces. / Harikrishnan, P. K.; Guillén, Bernardo Lafuerza; Ravindran, K. T.

In: Filomat, Vol. 30, No. 5, 01.01.2016, p. 1263-1272.

Research output: Contribution to journalArticle

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