Original research
On Λ-statistical convergence in random 2-normed space
1 Science and Art Faculty, Department of Mathematics, Adiyaman University, Adiyaman 02040, Turkey
2 Department of Mathematics and Computer Sciences, University of Pristina and ”Mother Teresa” Avenue Nr=5, Pristina 10000, Kosovo
3 College Vizioni per Arsim, Department of Computer Sciences and Applied Mathematics, , Ferizaj 70000, Kosove
Mathematical Sciences 2012, 6:62 doi:10.1186/2251-7456-6-62
Published: 1 November 2012Abstract
Recently, Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. In this paper, we define and study the notion of Λ-statistical convergence and Λ-statistical Cauchy sequences in random 2-normed spaces , where λ=(λm) be a non-decreasing sequence of positive numbers tending to infinity such that λm + 1≤λm + 1,λ1=1 and prove some theorems. In last section we will give the definition of the Λ− limit and cluster points and we will show their relation between those classes.
