Compactness and D-boundedness in Menger's 2-probabilistic normed spaces
Functional Analysis
2017-08-04 v1
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 Boundedness in Menger's 2-probabilistic normed spaces and Menger's Generalized 2-Probabilistic Normed spaces are discussed.
Cite
@article{arxiv.1708.00860,
title = {Compactness and D-boundedness in Menger's 2-probabilistic normed spaces},
author = {P. K. Harikrishnan and Bernardo Lafuerza Guillen and K. T. Ravindran},
journal= {arXiv preprint arXiv:1708.00860},
year = {2017}
}