Distance in cone metric spaces and common fixed point theorems

被引：42
|
作者：
Wang, Shenghua [1 ,2 ,3 ]
Guo, Baohua [1 ]
机构：
[1] N China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
[2] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea
来源：
APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 10期
关键词：
Fixed points; Cone metric spaces; Contractive mappings; VALUED DYNAMIC-SYSTEMS; CONTRACTIONS; UNIFORM;
D O I：
10.1016/j.aml.2011.04.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define a distance called c-distance on a cone metric space and prove a new common fixed point theorem by using the distance. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1735 / 1739
页数：5
相关论文
共 50 条
  • [21] Some common fixed point theorems for a family of non-self mappings in cone metric spaces
    Huang, Xianjiu
    Zhu, Chuanxi
    Wen, Xi
    Lalovic, Ljubica
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [22] ON SOME COMMON FIXED POINT THEOREMS WITH phi-MAPS ON G-CONE METRIC SPACES
    Ozturk, Mahpeyker
    Basarir, Metin
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (01): : 121 - 133
  • [23] Topological Vector Space-Valued Cone Metric Spaces and Fixed Point Theorems
    Kadelburg, Zoran
    Radenovic, Stojan
    Rakocevic, Vladimir
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [24] Some common fixed point theorems for a family of non-self mappings in cone metric spaces
    Xianjiu Huang
    Chuanxi Zhu
    Xi Wen
    Ljubica Lalović
    Fixed Point Theory and Applications, 2013
  • [25] COMMON FIXED POINT THEOREMS IN MODIFIED INTUITIONISTIC FUZZY METRIC SPACES
    Imdad, M.
    Ali, J.
    Hasan, M.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2012, 9 (05): : 77 - 92
  • [26] Common Fixed Point Theorems for Six Mappings in Generalized Metric Spaces
    Gu, Feng
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [27] Common Fixed Point Theorems on Orthogonal Branciari Metric Spaces with an Application
    Mani, Gunaseelan
    Prakasam, Senthil Kumar
    Gnanaprakasam, Arul Joseph
    Ramaswamy, Rajagopalan
    Abdelnaby, Ola A. Ashour
    Khan, Khizar Hyatt
    Radenovic, Stojan
    SYMMETRY-BASEL, 2022, 14 (11):
  • [28] Fixed Point Theorems of T-Contraction mappings under c-Distance in Cone Metric Spaces
    Fadail, Zaid Mohammed
    Bin Ahmad, Abd Ghafur
    2013 UKM FST POSTGRADUATE COLLOQUIUM, 2013, 1571 : 1030 - 1034
  • [29] Fixed point theorems for mappings with convex diminishing diameters on cone metric spaces
    Alnafei, Shahrazad H.
    Radenovic, Stojan
    Shahzad, Naseer
    APPLIED MATHEMATICS LETTERS, 2011, 24 (12) : 2162 - 2166
  • [30] COUPLED FIXED POINT THEOREMS OF INTEGRAL TYPE MAPPINGS IN CONE METRIC SPACES
    Olaleru, J. O.
    Okeke, G. A.
    Akewe, H.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2012, 36 (02): : 215 - 224
12345