Menger 2-概率赋范空间中的Compactness和D-有界性
Compactness and D-boundedness in Menger's 2-probabilistic normed spaces
摘要：
2-概率赋范空间中凸集的概念和各种相关结果是在[HR]中建立的。本文给出了Menger 2-概率赋范空间中凸级数闭性、凸级数紧性、有界性的概念及其相互关系。最后，讨论了Menger的2-概率赋范空间和Menger的广义2-概率赋范空间中的$ \mathcal{D}- $有界性。
英文摘要：
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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