Fixed point theorem for generalized weak contractions satisfying rational expressions in ordered metric spaces

被引：33
|
作者：
Nguyen Van Luong [1 ]
Nguyen Xuan Thuan [1 ]
机构：
[1] Hong Duc Univ, Dept Nat Sci, Thanh Hoa, Vietnam
来源：
FIXED POINT THEORY AND APPLICATIONS | 2011年
关键词：
fixed point; generalized weak contraction; rational type; ordered metric spaces; SETS;
D O I：
10.1186/1687-1812-2011-46
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove a fixed point theorem for generalized weak contractions satisfying rational expressions in partially ordered metric spaces. The result is a generalization of a recent result of Harjani et al. (Abstr. Appl. Anal, Vol.2010, 1-8, 2010). An example is also given to show that our result is a proper generalization of the existing one. 2000 Mathematics Subject Classification: 47H10, 54H25.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Fixed point theorem for generalized weak contractions satisfying rational expressions in ordered metric spaces
    Nguyen Van Luong
    Nguyen Xuan Thuan
    [J]. Fixed Point Theory and Applications, 2011
  • [2] Fixed point theorems for generalized weak contractions satisfying rational expression on a ordered partial metric space
    Karapınar E.
    Marudai M.
    Pragadeeswarar V.
    [J]. Lobachevskii Journal of Mathematics, 2013, 34 (1) : 116 - 123
  • [3] A New Common Fixed Point Theorem for Suzuki Generalized (ψ, φ)-Weak Contractions in Ordered Metric Spaces
    Joonaghany, Gholamreza Heidary
    Farajzadeh, Ali
    Azhini, Mehdi
    Khojasteh, Farshid
    [J]. THAI JOURNAL OF MATHEMATICS, 2021, 19 (04): : 1537 - 1554
  • [4] A fixed point theorem for contractions of rational type in partially ordered metric spaces
    Cabrera I.
    Harjani J.
    Sadarangani K.
    [J]. ANNALI DELL'UNIVERSITA' DI FERRARA, 2013, 59 (2) : 251 - 258
  • [5] A fixed point theorem for generalized(ψ,φ)-weak contractions in Branciari typegeneralized metric spaces
    Xue, Zhiqun
    Lv, Guiwen
    [J]. FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2021, 2021 (01):
  • [6] Common Fixed Point Theorems for Monotone Generalized Contractions Satisfying a Contractive Condition of Rational Type in Ordered Metric Spaces
    Harjani, J.
    Lopez, B.
    Sadarangani, K.
    [J]. JOURNAL OF CONVEX ANALYSIS, 2013, 20 (04) : 919 - 935
  • [7] Generalized fixed point results of rational type contractions in partially ordered metric spaces
    N. Seshagiri Rao
    K. Kalyani
    [J]. BMC Research Notes, 14
  • [8] Generalized fixed point results of rational type contractions in partially ordered metric spaces
    Rao, N. Seshagiri
    Kalyani, K.
    [J]. BMC RESEARCH NOTES, 2021, 14 (01)
  • [9] Fixed point theorems for generalized contractions in ordered metric spaces
    O'Regan, Donal
    Petrusel, Adrian
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (02) : 1241 - 1252
  • [10] Fixed point results for modified weak and rational α-ψ-contractions in ordered 2-metric spaces
    Fathollahi, Shahin
    Hussain, Nawab
    Khan, Liaqat A.
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
12345