Cone metric spaces and fixed point theorems in diametrically contractive mappings


Turkoglu D. , Abuloha M.

ACTA MATHEMATICA SINICA-ENGLISH SERIES, cilt.26, sa.3, ss.489-496, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 26 Konu: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s10114-010-8019-5
  • Dergi Adı: ACTA MATHEMATICA SINICA-ENGLISH SERIES
  • Sayfa Sayıları: ss.489-496

Özet

In this paper, some topological concepts and definitions are generalized to cone metric spaces. It is proved that every cone metric space is first countable topological space and that sequentially compact subsets are compact. Also, we define diametrically contractive mappings and asymptotically diametrically contractive mappings on cone metric spaces to obtain some fixed point theorems by assuming that our cone is strongly minihedral.