Fixed point theorems for operator in cone Banach spaces

被引：3
|
作者：
Mutlu, Ali [1 ]
Yolcu, Nermin [1 ]
机构：
[1] Celal Bayar Univ, Fac Sci & Arts, Dept Math, TR-45047 Manisa, Turkey
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
cone metric space; complete cone metric space; fixed point; CONTRACTIVE MAPPINGS; METRIC-SPACES;
D O I：
10.1186/1687-1812-2013-56
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset C of a cone Banach space with the norm , if there exist a, b, c, r and satisfies the conditions and for all , then T has at least one fixed point. MSC: 47H10, 54H25.
引用
收藏
页码：1 / 6
页数：6
相关论文
共 50 条
  • [1] Fixed point theorems for Φp operator in cone Banach spaces
    Ali Mutlu
    Nermin Yolcu
    Fixed Point Theory and Applications, 2013
  • [2] Fixed Point Theorems in Cone Banach Spaces
    Erdal Karapınar
    Fixed Point Theory and Applications, 2009
  • [3] Fixed Point Theorems in Cone Banach Spaces
    Karapinar, Erdal
    FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [4] COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES
    Abdeljawad, Thabet
    Karapinar, Erdal
    Tas, Kenan
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (02): : 211 - 217
  • [5] Common fixed point theorems in cone Banach type spaces
    Moradlou, Fridoun
    Salimi, Peyman
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (03): : 597 - 606
  • [6] Fixed Point Theorems of Quasicontractions on Cone Metric Spaces with Banach Algebras
    Liu, Hao
    Xu, Shaoyuan
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [7] Fixed point and common fixed point theorems on ordered cone metric spaces over Banach algebras
    Yan, Qi
    Yin, Jiandong
    Wang, Tao
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1581 - 1589
  • [8] Fixed Point Theorems in Complete Cone Metric Spaces over Banach Algebras
    Cho, Seong-Hoon
    JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [9] FIXED POINT THEOREMS IN THE STUDY OF OPERATOR EQUATIONS IN ORDERED BANACH SPACES AND THEIR APPLICATIONS
    Mechrouk, Salima
    FIXED POINT THEORY, 2021, 22 (02): : 761 - 777
  • [10] SOME FIXED POINT THEOREMS IN BANACH SPACES
    GOEBEL, K
    ZLOTKIEWICZ, E
    COLLOQUIUM MATHEMATICUM, 1971, 23 (01) : 103 - +
12345