On generalized double statistical convergence in a random 2-normed space
Journal of Inequalities and Applications, vol.2012, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 2012
- Publication Date: 2012
- Doi Number: 10.1186/1029-242x-2012-209
- Journal Name: Journal of Inequalities and Applications
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: statistical convergence, lambda-double statistical convergence, t-norm, 2-norm, random 2-normed space
- Open Archive Collection: AVESIS Open Access Collection
- İstanbul Ticaret University Affiliated: Yes
Abstract
Recently, the concept of statistical convergence has been studied in 2-normed and random 2-normed spaces by various authors. In this paper, we shall introduce the concept of λ-double statistical convergence and λ-double statistical Cauchy in a random 2-normed space. We also shall prove some new results. MSC: 40A05, 40B50, 46A19, 46A45. © 2012 Savas; licensee Springer.