KKM mappings in cone metric spaces and some fixed point theorems


Turkoglu D., Abuloha M., ABDELJAWAD T.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.72, no.1, pp.348-353, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 72 Issue: 1
  • Publication Date: 2010
  • Doi Number: 10.1016/j.na.2009.06.058
  • Journal Name: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.348-353
  • Keywords: 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 University Affiliated: Yes

Abstract

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.