A note on ‘A best proximity point theorem for Geraghty-contractions’

被引：0
|
作者：
Jingling Zhang
Yongfu Su
Qingqing Cheng
机构：
[1] Tianjin Polytechnic University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
Geraghty-contractions; fixed point; best proximity point; weak ; -property;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In Caballero et al. (Fixed Point Theory Appl. (2012). doi:10.1186/1687-1812-2012-231), the authors prove a best proximity point theorem for Geraghty nonself contraction. In this note, not only P-property has been weakened, but also an improved best proximity point theorem will be presented by a short and simple proof. An example which satisfies weak P-property but not P-property has been presented to demonstrate our results.
引用
收藏
相关论文
共 50 条
  • [1] A note on 'A best proximity point theorem for Geraghty-contractions'
    Zhang, Jingling
    Su, Yongfu
    Cheng, Qingqing
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [2] A best proximity point theorem for Geraghty-contractions
    J Caballero
    J Harjani
    K Sadarangani
    Fixed Point Theory and Applications, 2012
  • [3] A best proximity point theorem for Geraghty-contractions
    Caballero, J.
    Harjani, J.
    Sadarangani, K.
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [4] A remark on the paper "A best proximity point theorem for Geraghty-contractions"
    Som, Sumit
    JOURNAL OF ANALYSIS, 2022, 30 (03): : 959 - 963
  • [5] A remark on the paper “A best proximity point theorem for Geraghty-contractions”
    Sumit Som
    The Journal of Analysis, 2022, 30 : 959 - 963
  • [6] A generalization for the best proximity point of Geraghty-contractions
    Nurcan Bilgili
    Erdal Karapınar
    Kishin Sadarangani
    Journal of Inequalities and Applications, 2013
  • [7] A generalization for the best proximity point of Geraghty-contractions
    Bilgili, Nurcan
    Karapinar, Erdal
    Sadarangani, Kishin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [8] A Best Proximity Point Theorem for Generalized Geraghty–Suzuki Contractions
    Peyman Salimi
    Pasquale Vetro
    Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 245 - 256
  • [9] On best proximity point of ψ-Geraghty contractions
    Erdal Karapınar
    Fixed Point Theory and Applications, 2013
  • [10] On best proximity point of ψ-Geraghty contractions
    Karapinar, Erdal
    FIXED POINT THEORY AND APPLICATIONS, 2013,
12345