Remarks on Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings

被引:0
|
作者
MohamedA Khamsi
机构
[1] The University of Texas at El Paso,Department of Mathematical Science
[2] King Fahd University of Petroleum & Minerals,Department of Mathematics and Statistics
关键词
Banach Space; Point Theorem; Fixed Point Theorem; Triangle Inequality; Cauchy Sequence;
D O I
暂无
中图分类号
学科分类号
摘要
We discuss the newly introduced concept of cone metric spaces. We also discuss the fixed point existence results of contractive mappings defined on such metric spaces. In particular, we show that most of the new results are merely copies of the classical ones.
引用
收藏
相关论文
共 50 条
  • [31] Common Fixed Point Theorems for Nonlinear Contractive Mappings in Dislocated Metric Spaces
    Ren, Yijie
    Li, Junlei
    Yu, Yanrong
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [32] Common Coupled Fixed Point Theorems for Contractive Mappings in Fuzzy Metric Spaces
    Hu, Xin-Qi
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [33] Fixed Point Theorems for Contractive Mappings in Complete G-Metric Spaces
    Mustafa, Zead
    Sims, Brailey
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [34] Common fixed point theorems for contractive type mappings in fuzzy metric spaces
    Karayılan H.
    Telci M.
    [J]. Rendiconti del Circolo Matematico di Palermo, 2011, 60 (1-2) : 145 - 152
  • [35] ON THE FIXED POINT THEOREMS FOR GENERALIZED WEAKLY CONTRACTIVE MAPPINGS ON PARTIAL METRIC SPACES
    Chi, K. P.
    Karapinar, E.
    Thanh, T. D.
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2013, 39 (02) : 369 - 381
  • [36] Fixed Point Theorems for Weakly Contractive Mappings in Ordered Metric Spaces with an Application
    Prasad, Gopi
    Dimri, Ramesh Chandra
    [J]. ANALYSIS IN THEORY AND APPLICATIONS, 2022, 38 (02) : 232 - 242
  • [37] ON FIXED POINT THEOREMS FOR CONTRACTIVE-TYPE MAPPINGS IN FUZZY METRIC SPACES
    Qiu, D.
    Lu, C.
    Zhang, W.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2014, 11 (06): : 123 - 130
  • [38] Unique Fixed Point Theorems for Generalized Contractive Mappings in Partial Metric Spaces
    Mishra, Lakshmi Narayan
    Tiwari, Shiv Kant
    Mishra, Vishnu Narayan
    Khan, Idrees A.
    [J]. JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [39] Common Coupled Fixed Point Theorems for Contractive Mappings in Fuzzy Metric Spaces
    Xin-Qi Hu
    [J]. Fixed Point Theory and Applications, 2011
  • [40] Some fixed point theorems for generalized contractive mappings in complete metric spaces
    Nawab Hussain
    Vahid Parvaneh
    Bessem Samet
    Calogero Vetro
    [J]. Fixed Point Theory and Applications, 2015