Strong Ideal Convergence in Probabilistic Metric Spaces

Proceedings Mathematical Sciences

Celaleddin Åžençimen²  Serpil Pehlivan¹ 

[1] Faculty of Arts and Sciences, Department of Mathematics, Süleyman Demirel University, Isparta, Turkey$$;Faculty of Arts and Sciences, Department of Mathematics, Mehmet Akif Ersoy University, Burdur, Turkey$$

关键词: Probabilistic metric space;    strong topology;    strong ideal convergence;    strong ideal Cauchy sequence;    strong ideal limit point;    strong ideal cluster point.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In the present paper we introduce the concepts of strongly ideal convergent sequence and strong ideal Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong ideal limit points and the strong ideal cluster points of a sequence in this space and investigate some properties of these concepts.

【 授权许可】

Unknown