A fixed point theorem and its application to integral equations in modular function spaces

被引:29
|
作者
Taleb, AA [1 ]
Hanebaly, E [1 ]
机构
[1] Univ Mohammed V, Dept Math & Informat, Rabat, Morocco
关键词
modular space; fixed point; integral equation;
D O I
10.1090/S0002-9939-99-05546-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we present a fixed point theorem of Banach type in modular spaces. Also, we give some applications of this result to a nonlinear integral equation in Musielak-Orlicz space.
引用
收藏
页码:419 / 426
页数:8
相关论文
共 50 条
  • [1] A fixed point theorem and its application to integral equations in modular function spaces
    Taleb, AA
    Hanebaly, E
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (08) : 2335 - 2342
  • [2] FIXED POINT THEOREM AND ITS APPLICATION TO PERTURBED INTEGRAL EQUATIONS IN MODULAR FUNCTION SPACES
    Hajji, Ahmed
    Hanebaly, Elaidi
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
  • [3] On a Fixed Point Theorem with Application to Integral Equations
    Nazam, Muhammad
    Arshad, Andmuhammad
    INTERNATIONAL JOURNAL OF ANALYSIS, 2016,
  • [4] A common fixed point theorem and its application to nonlinear integral equations
    Pathak, H. K.
    Khan, M. S.
    Tiwari, Rakesh
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (06) : 961 - 971
  • [5] Krasnoselskii-type fixed point theorem in ordered Banach spaces and application to integral equations
    Benmezai, Abdelhamid
    ADVANCES IN PURE AND APPLIED MATHEMATICS, 2022, 13 (01) : 50 - 61
  • [6] A Pata-type fixed point theorem in modular spaces with application
    Mohadeseh Paknazar
    Madjid Eshaghi
    Yeol Je Cho
    Seyed Mansour Vaezpour
    Fixed Point Theory and Applications, 2013
  • [7] The Meir–Keeler fixed point theorem in incomplete modular spaces with application
    Maryam Ramezani
    Hamid Baghani
    Journal of Fixed Point Theory and Applications, 2017, 19 : 2369 - 2382
  • [8] A Pata-type fixed point theorem in modular spaces with application
    Paknazar, Mohadeseh
    Eshaghi, Madjid
    Cho, Yeol Je
    Vaezpour, Seyed Mansour
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [9] AN EXTENSION OF TYCHONOFF FIXED POINT THEOREM WITH APPLICATION TO THE SOLVABILITY OF THE INFINITE SYSTEMS OF INTEGRAL EQUATIONS IN THE FRECHET SPACES
    Allahyari, Reza
    Arab, Reza
    Haghighi, Ali Shole
    MISKOLC MATHEMATICAL NOTES, 2020, 21 (01) : 31 - 49
  • [10] A Tripled Fixed Point Theorem in C*-Algebra-Valued Metric Spaces and Application in Integral Equations
    Parvaneh, Vahid
    Bonab, Samira Hadi
    Hosseinzadeh, Hasan
    Aydi, Hassen
    ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021