On generalized double statistical convergence in a random 2-normed space

Savas E.

Journal of Inequalities and Applications, vol.2012, 2012 (SCI-Expanded) identifier

  • 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: λ-double statistical convergence, 2-norm, random 2-normed space, statistical convergence, t-norm
  • Uşak University Affiliated: No

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.