Some New Results on the Superstability of the Cauchy Equation on Semigroups

被引：0
作者：
M. Alimohammady
A. Sadeghi
机构：
[1] University of Mazandaran,Department of Mathematics
来源：
Results in Mathematics | 2013年 / 63卷
关键词：
Primary 39B72; 39B52; Secondary 47H09; Superstability; Cauchy equation; Stability; Semigroup; Fixed point;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper the superstability of the Cauchy equation can be proved for complex valued functions on commutative semigroup under some suitable conditions. Furthermore, in this note, we give a partial affirmative answer to problem 18, in the 31st ISFE.
引用
收藏
页码：705 / 712
页数：7
相关论文
共 50 条
  • [21] Some remarks on the stability of the Cauchy equation and completeness
    Harald Fripertinger
    Jens Schwaiger
    Aequationes mathematicae, 2021, 95 : 1243 - 1255
  • [22] Some remarks on the stability of the Cauchy equation and completeness
    Fripertinger, Harald
    Schwaiger, Jens
    AEQUATIONES MATHEMATICAE, 2021, 95 (06) : 1243 - 1255
  • [23] On the Superstability Related with the Trigonometric Functional Equation
    Kim, Gwang Hui
    ADVANCES IN DIFFERENCE EQUATIONS, 2009,
  • [24] The superstability of d'Alembert's functional equation on the Heisenberg group
    Bouikhalene, B.
    Elqorachi, E.
    Rassias, J. M.
    APPLIED MATHEMATICS LETTERS, 2010, 23 (01) : 105 - 109
  • [25] Superstability of a Van Vleck’s type functional equation for the sine
    Lehlou F.
    Moussa M.
    Roukbi A.
    Kabbaj S.
    Afrika Matematika, 2018, 29 (5-6) : 861 - 867
  • [26] Superstability of the p-power-radical functional equation related to sine function equation
    Hwang, Hye Jeang
    Kim, Gwang Hui
    ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (10): : 6347 - 6362
  • [27] Superstability of the generalized orthogonality equation on restricted domains
    Jung, SM
    Sahoo, PK
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2004, 114 (03): : 253 - 267
  • [28] SOME RESULTS ON PRIME RADICAL IN ORDERED Γ-SEMIGROUPS
    Hila, Kostaq
    MATHEMATICAL REPORTS, 2014, 16 (02): : 253 - 270
  • [29] Superstability of the p-radical functional equations related to Wilson equation and Kim's equation
    Kim, Gwang Hui
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 : 571 - 582
  • [30] CAUCHY EQUATION ON DISCRETE DOMAIN AND SOME CHARACTERIZATION THEOREMS
    DASGUPTA, R
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 1993, 38 (03) : 520 - 524
12345