A Generalization of the Banach Contraction Principle in Noncomplete Metric Spaces

被引:6
|
作者
Suzuki, Tomonari [1 ]
机构
[1] Kyushu Inst Technol, Fac Engn, Dept Basic Sci, Kitakyushu, Fukuoka 8048550, Japan
基金
日本学术振兴会;
关键词
the Banach contraction principle; fixed point; completeness; the Banach fixed point property; COMPLETENESS; THEOREMS; MAPPINGS;
D O I
10.2298/FIL1711357S
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give a sufficient condition on metric spaces possessing the Banach fixed point property (BFPP). Further we also give a sufficient condition on not possessing BFPP.
引用
收藏
页码:3357 / 3363
页数:7
相关论文
共 50 条
  • [31] NONCOMPLETE MACKEY TOPOLOGIES ON BANACH SPACES
    Bonet, Jose
    Cascales, Bernardo
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 81 (03) : 409 - 413
  • [33] A generalized contraction principle in partial metric spaces
    Kieu Phuong Chi
    Karapinar, Erdal
    Tran Duc Thanh
    MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (5-6) : 1673 - 1681
  • [34] A generalization of Banach's contraction principle for some non-obviously contractive operators in a cone metric space
    Guo, Yingxin
    TURKISH JOURNAL OF MATHEMATICS, 2012, 36 (02) : 297 - 304
  • [35] Controlled Metric Type Spaces and the Related Contraction Principle
    Mlaiki, Nabil
    Aydi, Hassen
    Souayah, Nizar
    Abdeljawad, Thabet
    MATHEMATICS, 2018, 6 (10)
  • [36] A New Nonlinear Contraction Principle in Partial Metric Spaces
    Zhang, Yi
    Zhu, Jiang
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [37] Remark on contraction principle in conetvsb-metric spaces
    Bajovic, Dusan
    Mitrovic, Zoran D.
    Saha, Mantu
    JOURNAL OF ANALYSIS, 2021, 29 (01): : 273 - 280
  • [38] Setvalued contraction mapping principle in generalized metric spaces
    2018, Politechnica University of Bucharest (80):
  • [39] The generalized Banach contraction conjecture in b-metric spaces
    Nguyen Van Dung
    Vo Thi Le Hang
    Journal of Fixed Point Theory and Applications, 2018, 20
  • [40] The generalized Banach contraction conjecture in b-metric spaces
    Nguyen Van Dung
    Vo Thi Le Hang
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)