ON THE STABILITY OF THE MIXED TYPE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD

被引:1
|
作者
Jin, Sun Sook [1 ]
Lee, Yang-Hi [2 ]
机构
[1] Gongju Natl Univ Educ, Dept Math Educ, Gongju 314711, South Korea
[2] Gongju Natl Univ Educ, Dept Math Educ, Gongju 314711, South Korea
关键词
stability; additive mapping; mixed type functional equation; random normed space;
D O I
10.7468/jksmeb.2012.19.1.59
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we prove the stability in random normed spaces via fixed point method for the functional equation f (x + y + z) f (x + y) f (y z) f (x + z) + f (x) f (y) + f (z) = 0. by using a fixed point theorem in the sense of L. Cadariu and V. Radu.
引用
收藏
页码:59 / 71
页数:13
相关论文
共 50 条
  • [41] Solutions and Stability of Generalized Mixed Type QC Functional Equations in Random Normed Spaces
    Cho, Yeol Je
    Gordji, Madjid Eshaghi
    Zolfaghari, Somaye
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [42] Solutions and Stability of Generalized Mixed Type QC Functional Equations in Random Normed Spaces
    YeolJe Cho
    MadjidEshaghi Gordji
    Somaye Zolfaghari
    Journal of Inequalities and Applications, 2010
  • [43] Ulam-Hyers stability of undecic functional equation in quasi-beta-normed spaces: Fixed point method
    Ravi, K.
    Rassias, J. M.
    Kumar, B. V. Senthil
    TBILISI MATHEMATICAL JOURNAL, 2016, 9 (02) : 83 - 103
  • [44] A Fixed Point Approach to the Fuzzy Stability of a Mixed Type Functional Equation
    Cheng Li-hua
    Zhang Jun-min
    Communications in Mathematical Research, 2016, 32 (02) : 122 - 130
  • [45] On the stability of a cubic functional equation in random 2-normed spaces
    Alotaibi, Abdullah
    Mohiuddine, Syed Abdul
    ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 10
  • [46] The Stability of an Additive-Quartic Functional Equation in Quasi-β-Normed Spaces with the Fixed Point Alternative
    Thanyacharoen, Anurak
    Sintunavarat, Wutiphol
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (02): : 577 - 592
  • [47] On the stability of a cubic functional equation in random 2-normed spaces
    Abdullah Alotaibi
    Syed Abdul Mohiuddine
    Advances in Difference Equations, 2012
  • [48] Stability of functional equation obtained through a fixed-point alternative in intuitionistic fuzzy normed spaces
    Mohiuddine, S. A.
    Alghamdi, Mohammed A.
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [49] Stability of functional equation obtained through a fixed-point alternative in intuitionistic fuzzy normed spaces
    SA Mohiuddine
    Mohammed A Alghamdi
    Advances in Difference Equations, 2012
  • [50] Stability Results of the Additive-Quadratic Functional Equations in Random Normed Spaces by Using Direct and Fixed-Point Method
    Rani, Asha
    Devi, Sushma
    Kumar, Manoj
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2023, 14 (02): : 827 - 843