On I-Cauchy sequences in 2-normed spaces

GÜRDAL M. , ACIK I.

MATHEMATICAL INEQUALITIES & APPLICATIONS, cilt.11, ss.349-354, 2008 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 11 Konu: 2
  • Basım Tarihi: 2008
  • Dergi Adı: MATHEMATICAL INEQUALITIES & APPLICATIONS
  • Sayfa Sayıları: ss.349-354

Özet

The concept of I-convergence is a generalization of statistical convergence and it is depended on the notion of the ideal I of subsets of the set N of positive integers. In this paper for sequences in 2-normed space the relationship between I-convergence and usual convergence along a filter F(I) associated with an admissible ideal I with property (AP) is investigated. We introduce the concepts I-Cauchy and I*-Cauchy sequences in 2-normed spaces and study their certain properties.