On the stability of an AQCQ-functional equation in random normed spaces

被引:0
作者
Choonkil Park
Sun Young Jang
Jung Rye Lee
Dong Yun Shin
机构
[1] Hanyang University,Department of Mathematics
[2] University of Ulsan,Department of Mathematics
[3] Daejin University,Department of Mathematics
[4] University of Seoul,Department of Mathematics
来源
Journal of Inequalities and Applications | / 2011卷
关键词
random normed space; additive-quadratic-cubic-quartic functional equation; Hyers-Ulam stability;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation
引用
收藏
相关论文
共 43 条
  • [1] Hyers DH(1941)On the stability of the linear functional equation Proc Natl Acad Sci USA 27 222-224
  • [2] Rassias ThM(1978)On the stability of the linear mapping in Banach spaces Proc Am Math Soc 72 297-300
  • [3] Gajda Z(1991)On stability of additive mappings Int J Math Math Sci 14 431-434
  • [4] Aoki T(1950)On the stability of the linear transformation in Banach spaces J Math Soc Jpn 2 64-66
  • [5] Găvruta P(1994)A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings J Math Anal Appl 184 431-436
  • [6] Isac G(1993)On the Hyers-Ulam stability of J Approx Theory 72 131-137
  • [7] Rassias ThM(2000)-additive mappings Acta Math Appl 62 23-130
  • [8] Rassias ThM(2000)On the stability of functional equations and a problem of Ulam J Math Anal Appl 251 264-284
  • [9] Rassias ThM(1982)On the stability of functional equations in Banach spaces J Funct Anal 46 126-130
  • [10] Rassias JM(1984)On approximation of approximately linear mappings by linear mappings Bull Sci Math 108 445-446