On generalized statistical convergence in random 2-normed space

Savas E.

Iranian Journal of Science and Technology, Transaction A: Science, vol.36, no.4, pp.417-423, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 4
  • Publication Date: 2012
  • Journal Name: Iranian Journal of Science and Technology, Transaction A: Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.417-423
  • Keywords: 2-norm, Random 2-normed space, Statistical convergence, T-norm, λ-statistical convergence
  • Uşak University Affiliated: No

Abstract

In this paper, we shall define and study the concept of λ -statistical convergence and λ -statistical Cauchy in random 2-normed space. We also introduce the concept of λ -statistical completeness which would provide a more general frame work to study the completeness in random 2-normed space. Furthermore, we also prove some new results.