Fixed points and stability of functional equations in fuzzy ternary Banach algebras

被引:5
|
作者
Asgari, G. [1 ]
Cho, Y. J. [2 ,3 ]
Lee, Y. W. [4 ]
Gordji, M. Eshaghi [5 ]
机构
[1] Islamic Azad Univ, Dept Math, Aligoudarz Branch, Aligoudarz, Iran
[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[4] Daejeon Univ, Dept Comp Hacking & Informat Secur, Taejon 300716, South Korea
[5] Semnan Univ, Dept Math, Semnan, Iran
基金
新加坡国家研究基金会;
关键词
Hyers-Ulam-Rassias stability; Diaz and Margolis contraction theorem; fuzzy ternary Banach algebra; ternary algebras; functional equations; ASTERISK-HOMOMORPHISMS; DERIVATIONS;
D O I
10.1186/1029-242X-2013-166
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By using Diaz and Margolis fixed point theorem, we establish the generalized Hyers-Ulam-Rassias stability of the ternary homomorphisms and ternary derivations between fuzzy ternary Banach algebras associated to the following (m,n)-Cauchy-Jensen additive functional equation: (1 <= 1<...<im <= n 1 <= kj <= n k1ij,j is an element of{1,...,m})Sigma f(Sigma(m)(j=1) x(ij)/m + Sigma(n-m)(i=1) x(kj)) = (n-m+1)/n (n m) Sigma(n)(i=1) f(X-j).
引用
收藏
页数:10
相关论文
共 50 条
  • [41] Banach limit, fixed points and Ulam stability
    Brzdek, Janusz
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (02)
  • [42] A Fixed Point Approach to Stabilities of Functional Equations in Intuitionistic Fuzzy Banach Spaces
    Saha, P.
    Samanta, T. K.
    Mondal, Pratap
    Choudhury, B. S.
    THAI JOURNAL OF MATHEMATICS, 2022, 20 (04): : 1585 - 1602
  • [43] Ternary Jordan ring derivations on Banach ternary algebras: A fixed point approach
    Gordji, Madjid Eshaghi
    Bazeghi, Shayan
    Park, Choonkil
    Jang, Sun Young
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (05) : 829 - 834
  • [44] On stability of functional equations related to quadratic mappings in fuzzy Banach spaces
    Kim, Seong Sik
    Hussain, Nawab
    Cho, Yeol Je
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [45] On stability of functional equations related to quadratic mappings in fuzzy Banach spaces
    Seong Sik Kim
    Nawab Hussain
    Yeol Je Cho
    Journal of Inequalities and Applications, 2014
  • [46] Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach
    Park, Choonkil
    Gordji, Madjid Eshaghi
    Cho, Yeol Je
    FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 8
  • [47] Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach
    Choonkil Park
    Madjid Eshaghi Gordji
    Yeol Je Cho
    Fixed Point Theory and Applications, 2012
  • [48] Fixed points and fuzzy stability of an additive-quadratic functional equation
    Park, Choonkil
    Najati, Abbas
    Jang, Sun Young
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (03) : 452 - 462
  • [49] STABILITY OF HAHN DIFFERENCE EQUATIONS IN BANACH ALGEBRAS
    Abdelkhaliq, Marwa M.
    Hamza, Alaa E.
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 33 (04): : 1141 - 1158
  • [50] A FIXED POINT ALTERNATIVE TO THE STABILITY OF A QUADRATIC α-FUNCTIONAL EQUATION IN FUZZY BANACH SPACES
    Park, Choonkil
    Lee, Jung Rye
    Shin, Dong Yun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (07) : 1241 - 1248