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arXiv · 1708.00860

Compactness and D-boundedness in Menger's 2-probabilistic normed spaces

P. K. Harikrishnan·Bernardo Lafuerza Guillen·K. T. Ravindran
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Abstract

The idea of convex sets and various related results in 2-Probabilistic normed spaces were established in [HR]. 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 $ \mathcal{D}- $ Boundedness in Menger's 2-probabilistic normed spaces and Menger's Generalized 2-Probabilistic Normed spaces are discussed.

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P. K. Harikrishnan, Bernardo Lafuerza Guillen, K. T. Ravindran. 2017-08-02. Compactness and D-boundedness in Menger's 2-probabilistic normed spaces. https://doi.org/10.2298/fil1605263h

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