I–convergence on Cone Metric Spaces

نویسندگان

  • SUDIP KUMAR PAL
  • EKREM SAVAS
  • HUSEYIN CAKALLI
چکیده

The concept of I–convergence is an important generalization of statistical convergence which depends on the notion of an ideal I of subsets of the set N of positive integers. In this paper we introduce the ideas of I–Cauchy and I∗–Cauchy sequences in cone metric spaces and study their properties. We also investigate the relation between this new Cauchy type condition and the property of completeness.

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تاریخ انتشار 2013