Probabilistic normed spaces have been redefined by Alsina, Schweizer, and Sklar. We give a detailed analysis of various boundedness notions for linear operators between such spaces and we study the relationship among them and also with the notion of continuity.
Countable products of probabilistic normed spaces
✍ Scribed by Bernardo Lafuerza-Guillén; Carlo Sempi; Gaoxun Zhang; Minxian Zhang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 525 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
It is shown that countable products of completely regular absolute C6 spaces inherit each of the following properties from their factors: paracompactness, LindelOfness, metacompactness and ultra-paracompactness. This generalizes previous results by
In this paper, we introduce the concept of probabilistic contractor couple in probabilistic normed spaces and discuss the existence of solution for nonlinear equations of fuzzy mappings and the convergence of sequences generated by the algorithms in Menger probabilistic normed spaces.