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

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

doi:10.2298/FIL1605263H

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

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

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

7 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 language	English
Pages (from-to)	1263-1272
Number of pages	10
Journal	Filomat
Volume	30
Issue number	5
DOIs	https://doi.org/10.2298/FIL1605263H
Publication status	Published - 01-01-2016

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.2298/FIL1605263H

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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{\textquoteright}s 2-probabilistic normed space. Finally, the idea of D- Boundedness in Menger{\textquoteright}s 2-probabilistic normed spaces and Menger{\textquoteright}s Generalized 2-Probabilistic Normed spaces are discussed.",

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

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