Compactness and D-Boundedness in Menger's 2-Probabilistic Normed Spaces

被引：2

作者：

Harikrishnan, P. K. ^{[1
]}

Lafuerza Guillen, Bernardo ^{[2
]}

Ravindran, K. T. ^{[3
,4
]}

机构：

[1] Manipal Univ, Manipal Inst Technol, Dept Math, Manipal 576104, Karnataka, India

[2] Univ Almeria, Dept Matemat Aplicada & Estadist, Almeria, Spain

[3] Kannur Univ, Payyanur Coll, PG Dept, Kannur, Kerala, India

[4] Kannur Univ, Payyanur Coll, Res Ctr Math, Kannur, Kerala, India

来源：

FILOMAT | 2016年 / 30卷 / 05期

关键词：

Linear 2-normed spaces; Probabilistic normed spaces; Convexity;

D O I：

10.2298/FIL1605263H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1263 / 1272

页数：10

共 18 条

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