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
来源：
FILOMAT | 2017年 / 31卷 / 11期
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
  • [21] A Generalisation of Contraction Principle in Metric Spaces
    Dutta, P. N.
    Choudhury, Binayak S.
    FIXED POINT THEORY AND APPLICATIONS, 2008, 2008 (1)
  • [22] A Generalisation of Contraction Principle in Metric Spaces
    P. N. Dutta
    Binayak S. Choudhury
    Fixed Point Theory and Applications, 2008
  • [23] A Banach contraction principle in fuzzy metric spaces defined by means of t-conorms
    Valentín Gregori
    Juan-José Miñana
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
  • [24] Rectangular cone b-metric spaces over Banach algebra and contraction principle
    George R.
    Nabwey H.A.
    Rajagopalan R.
    Radenović S.
    Reshma K.
    Fixed Point Theory and Applications, 2017 (1)
  • [25] A Banach contraction principle in fuzzy metric spaces defined by means of t-conorms
    Gregori, Valentin
    Minana, Juan-Jose
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2021, 115 (03)
  • [26] A Banach contraction theorem in fuzzy metric spaces
    Mihet, D
    FUZZY SETS AND SYSTEMS, 2004, 144 (03) : 431 - 439
  • [27] ON BANACH CONTRACTION PRINCIPLES IN FUZZY METRIC SPACES
    Gregori, Valentin
    Minana, Juan-Jose
    Sapena, Almanzor
    FIXED POINT THEORY, 2018, 19 (01): : 235 - 247
  • [28] Comments on some recent generalization of the Banach contraction principle
    Tomonari Suzuki
    Journal of Inequalities and Applications, 2016
  • [29] ON PRESIC TYPE GENERALIZATION OF THE BANACH CONTRACTION MAPPING PRINCIPLE
    Ciric, L. B.
    Presic, S. B.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2007, 76 (02): : 143 - 147
  • [30] Comments on some recent generalization of the Banach contraction principle
    Suzuki, Tomonari
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
12345