Fixed point theorem for contraction mappings in probabilistic normed spaces

被引：0
|
作者：
Harikrishnan, P. K. [1 ]
Lafuerza-Guillen, Bernardo [2 ]
Cho, Yeol Je [3 ]
Ravindran, K. T. [4 ]
机构：
[1] Deemed Univ, Manipal Acad Higher Educ, Manipal Inst Technol, Dept Math, Manipal 576104, Karnataka, India
[2] Univ Almeria, Dept Matemat Aplicada & Estat, Almeria, Spain
[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju, South Korea
[4] Gurudev Arts & Sci Coll, Payyanur, Kerala, India
来源：
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2020年 / 43期
关键词：
Menger's Probabilistic normed spaces; sequential continuity; fixed point; probabilistic bounded;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the concept of contractive mappings and phi- contraction mappings on Menger's probabilistic normed spaces are defined with suitable examples. The unique fixed point theorem for contractive mappings and phi- contraction mappings are established in Menger's probabilistic normed spaces.
引用
收藏
页码：818 / 827
页数：10
相关论文
共 50 条
  • [1] Fixed point theorem for contraction mappings in probabilistic normed spaces
    Harikrishnan, P.K.
    Lafuerza–Guillén, Bernardo
    Cho, Yeol Je
    Ravindran, K.T.
    Italian Journal of Pure and Applied Mathematics, 2020, 43 : 818 - 827
  • [2] A FIXED POINT THEOREM FOR CONTRACTION MAPPINGS IN A UNIFORMLY CONVEX NORMED SPACE
    KASAHARA, S
    PROCEEDINGS OF THE JAPAN ACADEMY, 1966, 42 (06): : 593 - &
  • [3] Fixed Point Theorem of{a, b, c}Contraction and Nonexpansive Type Mappings in Weakly Cauchy Normed Spaces
    Sahar Mohamed Ali
    Analysis in Theory and Applications, 2013, 29 (03) : 280 - 288
  • [4] A FIXED-POINT THEOREM FOR LOCALLY NONEXPANSIVE-MAPPINGS IN NORMED SPACES
    WATERS, C
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 97 (04) : 695 - 699
  • [5] More on Fixed Point Theorem of {a, b, c}-Generalized Nonexpansive Mappings in Normed Spaces
    Sahar Mohamed Ali
    Analysis in Theory and Applications, 2013, 29 (01) : 1 - 11
  • [6] Fixed point theorem by using ψ-contraction and (φ,φ)-contraction in probabilistic 2-metric spaces
    Abu-Donia, H. M.
    Atia, H. A.
    Khater, Omnia M. A.
    ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (03) : 1239 - 1242
  • [7] The Fixed Point Theorem for Some Contraction Mappings
    徐叶润
    数学研究与评论, 1985, (04) : 49 - 52
  • [8] Fixed Point Theorem for F-contraction Mappings, in Partial Metric Spaces
    Luambano, S.
    Kumar, S.
    Kakiko, G.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (02) : 183 - 188
  • [9] Fixed Point Theorem in Partially Ordered Metric Spaces for Generalized Contraction Mappings
    Chandok, S.
    Khan, M. S.
    Narang, T. D.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2015, 5 (01): : 89 - 96
  • [10] Fixed Point Theorem for F-contraction Mappings, in Partial Metric Spaces
    S. Luambano
    S. Kumar
    G. Kakiko
    Lobachevskii Journal of Mathematics, 2019, 40 : 183 - 188
12345