On paracompactness in cone metric spaces


Sonmez A.

APPLIED MATHEMATICS LETTERS, cilt.23, sa.4, ss.494-497, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Konu: 4
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.aml.2009.12.011
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Sayfa Sayıları: ss.494-497

Özet

It is well known that any metric space is paracompact. As a generalization of metric spaces, cone metric spaces play very important role in fixed point theory, computer science, and some other research areas as well as in general topology. In this paper, a theorem which states that any cone metric space with a normal cone is paracompact is proved. (C) 2010 Elsevier Ltd. All rights reserved.