Fixed point method for set-valued functional equations

被引：19
|
作者：
Park, Choonkil [1 ]
机构：
[1] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 04期
关键词：
Hyers-Ulam stability; Set-valued cubic functional equation; Set-valued quartic functional equation; Fixed point; ULAM-RASSIAS STABILITY; APPROXIMATION; EQUILIBRIUM; EXISTENCE; THEOREM; JENSEN;
D O I：
10.1007/s11784-017-0418-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a set-valued cubic functional equation and a set-valued quartic functional equation and prove the Hyers-Ulam stability of the set-valued cubic functional equation and the set-valued quartic functional equation by using the fixed point method.
引用
收藏
页码：2297 / 2308
页数：12
相关论文
共 50 条
  • [1] Fixed point method for set-valued functional equations
    Choonkil Park
    [J]. Journal of Fixed Point Theory and Applications, 2017, 19 : 2297 - 2308
  • [2] On the stability of set-valued functional equations with the fixed point alternative
    Kenary, Hassan Azadi
    Rezaei, Hamid
    Gheisari, Yousof
    Park, Choonkil
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 17
  • [3] On the stability of set-valued functional equations with the fixed point alternative
    Hassan Azadi Kenary
    Hamid Rezaei
    Yousof Gheisari
    Choonkil Park
    [J]. Fixed Point Theory and Applications, 2012
  • [4] THE FIXED POINT ALTERNATIVE THEOREM AND SET-VALUED FUNCTIONAL EQUATIONS
    Mirmostafaee, Alireza Kamel
    Mahdavi, Mostafa
    [J]. FIXED POINT THEORY, 2014, 15 (02): : 495 - 500
  • [5] Fixed point of set-valued mappings
    Luaibi, Hadeel Hussein
    [J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2019, 22 (08) : 1519 - 1527
  • [6] Asymptotic Stability of Neutral Set-Valued Functional Differential Equation by Fixed Point Method
    Bao, Junyan
    Wang, Peiguang
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
  • [7] Set-Valued Quadratic Functional Equations
    Lee, Jung Rye
    Park, Choonkil
    Shin, Dong Yun
    Yun, Sungsik
    [J]. RESULTS IN MATHEMATICS, 2017, 72 (1-2) : 665 - 677
  • [8] Set-Valued Quadratic Functional Equations
    Jung Rye Lee
    Choonkil Park
    Dong Yun Shin
    Sungsik Yun
    [J]. Results in Mathematics, 2017, 72 : 665 - 677
  • [9] On set-valued multiadditive functional equations
    Keyhani, Eqbal
    Hassani, Mahmoud
    Bodaghi, Abasalt
    [J]. FILOMAT, 2024, 38 (05) : 1847 - 1857
  • [10] A Fixed Point Theorem for Set-Valued Mappings
    Amitabh Banerjee
    Thakur Balwant Singh
    [J]. Applied Mathematics and Mechanics, 2001, 22 : 1397 - 1403
12345