Hyers-Ulam stability of additive set-valued functional equations

被引：48
作者：
Lu, Gang [2 ]
Park, Choonkil [1 ]
机构：
[1] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea
[2] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea
来源：
APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 08期
关键词：
Hyers-Ulam stability; Additive set-valued functional equation; Closed and convex subset; Cone; BANACH-SPACES; EQUILIBRIUM; EXISTENCE; MAPPINGS;
D O I：
10.1016/j.aml.2011.02.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define the following additive set-valued functional equations f(alpha chi + beta y) = rf (chi) sf (y), (1) f(x + y + z) = 2f (x + y/2) + f(z) (2) for some real numbers alpha > 0, beta > 0, r, s is an element of R with alpha + beta = r + s not equal 1, and prove the Hyers-Ulam stability of the above additive set-valued functional equations. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1312 / 1316
页数：5
相关论文
共 50 条
  • [41] Set-valued additive ρ-functional inequalities
    Park, Choonkil
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (02)
  • [42] On the stability of the generalized cubic set-valued functional equation
    Chu, Hahng-Yun
    Kim, Ahyoung
    Yoo, Seung Ki
    APPLIED MATHEMATICS LETTERS, 2014, 37 : 7 - 14
  • [43] HYERS-ULAM STABILITY FOR LINEAR QUATERNION-VALUED DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENT
    Chen, Dan
    Feckan, Michal
    Wang, JinRong
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (04) : 1237 - 1250
  • [44] On the stability of set-valued functional equations with the fixed point alternative
    Kenary, Hassan Azadi
    Rezaei, Hamid
    Gheisari, Yousof
    Park, Choonkil
    FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 17
  • [45] On Hyers-Ulam stability of the generalized Cauchy and Wilson equations
    Elhoucien, E
    Mohamed, A
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2005, 66 (3-4): : 283 - 301
  • [46] Hyers-ulam stability for linear equations of higher orders
    Brzdek, J.
    Popa, D.
    Xu, B.
    ACTA MATHEMATICA HUNGARICA, 2008, 120 (1-2) : 1 - 8
  • [47] On Hyers-Ulam stability of generalized linear functional equation and its induced Hyers-Ulam programming problem
    Zhang, Dong
    AEQUATIONES MATHEMATICAE, 2016, 90 (03) : 559 - 568
  • [48] Hyers-Ulam stability of iterative equations in Banach spaces
    Wang, Xi
    SCIENCEASIA, 2021, 47 (01): : 126 - 130
  • [49] Hyers-Ulam stability of the time independent Schrodinger equations
    Jung, Soon-Mo
    Roh, Jaiok
    APPLIED MATHEMATICS LETTERS, 2017, 74 : 147 - 153
  • [50] Hyers-Ulam stability of second order difference equations
    Murali, R.
    Selvan, A. Ponmana
    Rani, D. I. Asuntha
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (44): : 821 - 835
12345