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
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] GENERALIZED FIXED POINT THEOREMS IN CONE METRIC SPACES
    Kim, Seung Hyun
    Lee, Byung Soo
    KOREAN JOURNAL OF MATHEMATICS, 2012, 20 (03): : 353 - 360
  • [22] Multipled fixed point theorems in cone metric spaces
    Hallowed Olaoluwa
    Jonhson Olaleru
    Fixed Point Theory and Applications, 2014
  • [23] Multipled fixed point theorems in cone metric spaces
    Olaoluwa, Hallowed
    Olaleru, Jonhson
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [24] Fixed point theorems in ordered cone metric spaces
    Yang, Young-Oh
    Choi, Hong Joon
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4571 - 4579
  • [25] Coupled fixed point theorems in cone metric spaces
    Olatinwo M.O.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2011, 57 (1) : 173 - 180
  • [26] Neutrosophic Fixed Point Theorems and Cone Metric Spaces
    Al-omeri, Wadei F.
    Jafari, Saeid
    Smarandache, Florentin
    NEUTROSOPHIC SETS AND SYSTEMS, 2019, 31 : 250 - 265
  • [27] Neutrosophic Fixed Point Theorems and Cone Metric Spaces
    Al-Omeri W.F.
    Jafari S.
    Smarandache F.
    Neutrosophic Sets and Systems, 2020, 31 : 250 - 265
  • [28] SOME COMMON FIXED POINT THEOREMS ON c-DISTANCE IN CONE METRIC SPACES OVER BANACH ALGEBRAS
    Huang, Huaping
    Radenovic, Stojan
    Dosenovic, Tatjana
    APPLIED AND COMPUTATIONAL MATHEMATICS, 2015, 14 (02) : 180 - 193
  • [29] GENERALIZED DISTANCE AND COMMON FIXED POINT THEOREMS IN MENGER PROBABILISTIC METRIC SPACES
    Saadati, R.
    O'Regan, D.
    Vaezpour, S. M.
    Kim, J. K.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2009, 35 (02) : 97 - 117
  • [30] Coupled fixed point theorems in cone metric spaces with a c-distance and applications
    Karapinar, Erdal
    Kumam, Poom
    Sintunavarat, Wutiphol
    FIXED POINT THEORY AND APPLICATIONS, 2012,