Strong statistical convergence in probabilistic metric spaces

被引：12
|
作者：
Sencimen, C. [1 ]
Pehlivan, S. [2 ]
机构：
[1] Mehmet Akif Ersoy Univ, Fac Arts & Sci, Dept Math, TR-15100 Burdur, Turkey
[2] Suleyman Demirel Univ, Fac Arts & Sci, Dept Math, TR-32200 Isparta, Turkey
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2008年 / 26卷 / 03期
关键词：
probabilistic metric space; strong statistical cluster point; strong statistical convergence; strong statistical limit point; strong statistically Cauchy sequence; strong topology;
D O I：
10.1080/07362990802007251
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce the concepts of strongly statistically convergent sequence and strong statistically Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong statistical limit points and the strong statistical cluster points of a sequence in this space and investigate the relations between these concepts.
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页码：651 / 664
页数：14
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