Some Nonunique Fixed Point Theorems of Ciric Type on Cone Metric Spaces

被引:57
作者
Karapinar, Erdal [1 ]
机构
[1] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
关键词
CONTRACTIVE MAPPINGS;
D O I
10.1155/2010/123094
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Some results of (Ciric, 1974) on a nonunique fixed point theorem on the class of metric spaces are extended to the class of cone metric spaces. Namely, nonunique fixed point theorem is proved in orbitally T complete cone metric spaces under the assumption that the cone is strongly minihedral. Regarding the scalar weight of cone metric, we are able to remove the assumption of strongly minihedral.
引用
收藏
页码:1 / 14
页数:14
相关论文
共 22 条
  • [1] Abdeljawad T, 2010, HACET J MATH STAT, V39, P67
  • [2] Abdeljawad T, 2010, J COMPUT ANAL APPL, V12, P739
  • [3] Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem
    Abdeljawad, Thabet
    Karapinar, Erdal
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [4] ACHARI J, 1976, MAT VESNIK, V13, P255
  • [5] Aliprantis Charalambos D., 2007, Cones and duality
  • [6] [Anonymous], 1985, NONLINEAR FUNCTIONAL
  • [7] CIRIC LB, 1974, I MATH, V17, P52
  • [8] Gupta S., 1998, VIJNANA PARISHAD ANU, V41, P217
  • [9] Cone metric spaces and fixed point theorems of contractive mappings
    Huang Long-Guang
    Zhang Xian
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) : 1468 - 1476
  • [10] KARAPINAR E, 2009, FIXED POINT THEORY A