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
  • [31] Coupled fixed point theorems in cone metric spaces with a c-distance and applications
    Erdal Karapinar
    Poom Kumam
    Wutiphol Sintunavarat
    Fixed Point Theory and Applications, 2012
  • [32] Common Fixed Point Theorems of Integral Type Contraction on Cone Metric Spaces and Applications
    Kumar, Sanjay
    Singhal, Akash
    Sharma, Manish
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2023, 14 (02): : 503 - 510
  • [33] New coincidence and common fixed point theorems for a pair of mappings in cone metric spaces
    Pai, Xinying
    Song, Guangxing
    AFRIKA MATEMATIKA, 2014, 25 (01) : 11 - 24
  • [34] On Some Coincidence and Common Fixed Point Theorems in G-Cone Metric Spaces
    Ozturk, Mahpeyker
    Basarir, Metin
    THAI JOURNAL OF MATHEMATICS, 2011, 9 (03): : 647 - 657
  • [35] Common Fixed Point Theorems for Expansive Type Mappings in Cone Heptagonal Metric Spaces
    Haile, Gezachew
    Koyas, Kidane
    Girma, Aynalem
    THAI JOURNAL OF MATHEMATICS, 2022, 20 (02): : 639 - 652
  • [36] Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces
    Kadelburg, Zoran
    Pavlovic, Mirjana
    Radenovic, Stojan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (09) : 3148 - 3159
  • [37] Common Fixed Point Theorems of Ciric Type Weak Contractions in Cone Metric Spaces
    Babu, G. V. R. }
    Sailaja, P. D.
    THAI JOURNAL OF MATHEMATICS, 2012, 10 (03): : 517 - 533
  • [38] FIXED POINT AND COMMON FIXED POINT THEOREMS FOR alpha-PROPERTY IN CONE BALL-METRIC SPACES
    Shrivastava, Rajesh
    Dubey, Rajendra Kumar
    Tiwari, Pankaj
    Gupta, Animesh
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2013, 2 (02): : 137 - 146
  • [39] A Common Fixed Point Theorems in Fuzzy Metric Spaces
    Jain, Manish
    Kumar, Sanjay
    THAI JOURNAL OF MATHEMATICS, 2014, 12 (03): : 591 - 600
  • [40] Common Fixed Point Theorems in Metric spaces with Applications
    Semwal, Pushpendra
    Komal
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (04): : 1177 - 1190