Banach’s Contraction Principle for Nonlinear Contraction Mappings in Modular Metric Spaces

被引：0
|
作者：
Juan Martínez-Moreno
Wutiphol Sintunavarat
Poom Kumam
机构：
[1] Universidad de Jaén,Departamento de Matemáticas
[2] Thammasat University Rangsit Center,Department of Mathematics and Statistics
[3] King Mongkut’s University of Technology Thonburi (KMUTT),Department of Mathematics, Faculty of Science
[4] King Mongkut’s University of Technology Thonburi (KMUTT),Theoretical and Computational Science (TaCS) Center, Faculty of Science
[5] China Medical University,Department of Medical Research, China Medical University Hospital
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2017年 / 40卷
关键词：
Modular metric space; Fixed point; Banach theorem; Edelstein theorem; 47H09; 47H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. In this paper we investigate some fixed-point theorems in modular metric spaces.
引用
收藏
页码：335 / 344
页数：9
相关论文
共 50 条
  • [1] Banach's Contraction Principle for Nonlinear Contraction Mappings in Modular Metric Spaces
    Martinez-Moreno, Juan
    Sintunavarat, Wutiphol
    Kumam, Poom
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (01) : 335 - 344
  • [2] Banach contraction principle for cyclical mappings on partial metric spaces
    T Abdeljawad
    JO Alzabut
    A Mukheimer
    Y Zaidan
    [J]. Fixed Point Theory and Applications, 2012
  • [3] Banach contraction principle for cyclical mappings on partial metric spaces
    Abdeljawad, T.
    Alzabut, J. O.
    Mukheimer, A.
    Zaidan, Y.
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [4] A generalization of Banach's contraction principle for nonlinear contraction in a partial metric space
    Shatanawi, Wasfi
    Nashine, Hemant Kumar
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2012, 5 (01): : 37 - 43
  • [5] Generalization of Banach Contraction Principle for Prešić's Type Mappings in Soft Metric Spaces
    Singh, Bijender
    Singh, Vizender
    Acar, Ozlem
    [J]. SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2024, 21 (02):
  • [6] The contraction principle for mappings on a modular metric space with a graph
    Monther Rashed Alfuraidan
    [J]. Fixed Point Theory and Applications, 2015
  • [7] The contraction principle for mappings on a modular metric space with a graph
    Alfuraidan, Monther Rashed
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2015, : 1 - 10
  • [8] A Generalization of the Banach Contraction Principle in Noncomplete Metric Spaces
    Suzuki, Tomonari
    [J]. FILOMAT, 2017, 31 (11) : 3357 - 3363
  • [9] BANACH CONTRACTION PRINCIPLE ON CONE RECTANGULAR METRIC SPACES
    Azam, Akbar
    Arshad, Muhammad
    Beg, Ismat
    [J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2009, 3 (02) : 236 - 241
  • [10] The Contraction Principle for Multivalued Mappings on a Modular Metric Space with a Graph
    Alfuraidan, Monther Rashed
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2016, 59 (01): : 3 - 12
12345