KKM mappings in cone metric spaces and some fixed point theorems

Turkoglu D., Abuloha M., ABDELJAWAD T.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.72, sa.1, ss.348-353, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Sayı: 1
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.na.2009.06.058
  • Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.348-353
  • Anahtar Kelimeler: KKM property, Fixed point, Cone metric space, Admissible set, Totally bounded, Minihedral cone, Strongly minihedral cone, Closed ball, Semicontinuous, Approximate fixed point property, Compactly open, Hyperconvex cone metric space, Selection continuous
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we define KKM mappings in cone metric spaces and define NR-cone metric spaces to obtain some fixed point theorems and hence generalize the results obtained in [A. Amini, M. Fakhar, J. Zafarani, KKM mapping in metric spaces, Nonlinear Anal. 60 (2005) 1045-1052]. (C) 2009 Elsevier Ltd. All rights reserved.