Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach

被引：3

作者：

Park, Choonkil ^{[1
]}

Gordji, Madjid Eshaghi ^{[2
]}

Cho, Yeol Je ^{[3
,4
]}

机构：

[1] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea

[2] Semnan Univ, Dept Math, Semnan, Iran

[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[4] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

基金：

新加坡国家研究基金会;

关键词：

Quadratic functional equation; quadratic derivation; superstability; non Archimedean algebra; fixed point; FUNCTIONAL-EQUATION; HOMOMORPHISMS;

D O I：

10.1186/1687-1812-2012-97

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using fixed point method, we prove the Hyers-Ulam stability and the superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras. Indeed, we investigate the Hyers-Ulam stability and the superstability of the system of functional equations {f([abc]) = [f(a)b(2)c(2)] + [a(2)f(b)c(2)] + [a(2)b(2)f(c)]; g([abc]) = [g(a)b(2)c(2)] + [a(2)f(b)c(2)] + [a(2)b(2)f(c)]; g(ux + vy) + g(ux - vy) = 2u(2)g(x) + 2v(2)g(y); in non-Archimedean ternary Banach algebras.

引用

页码：1 / 8

页数：8

共 50 条

[31] Stability of ternary antiderivation in ternary Banach algebras via fixed point theorem
Dehghanian, Mehdi
Park, Choonkil
Sayyari, Yamin
CUBO-A MATHEMATICAL JOURNAL, 2023, 25 (02): : 273 - 288
[32] APPROXIMATE HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN BANACH ALGEBRAS
Chang, Ick-Soon
Alizadeh, Badrkhan
Gordji, M. Eshaghi
Kim, Hark-Mahn
MATHEMATICA SLOVACA, 2015, 65 (01) : 157 - 168
[33] Stability of ternary quadratic derivation on ternary Banach algebras: revisited
Park, Choonkil
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (01) : 21 - 23
[34] Superstability of homomorphisms and derivations on C*-algebras: A fixed point approach
Gharetapeh, S. Kaboli
Aghaei, M.
Karimi, T.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (06) : 1088 - 1096
[35] The fixed point alternative and the stability of ternary derivations
Ebadian, A.
Najafzadeh, Sh
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (04) : 776 - 784
[36] Approximation of Homomorphisms and Derivations on non-Archimedean Lie C*-Algebras via Fixed Point Method
Cho, Yeol Je
Saadati, Reza
Vahidi, Javad
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
[37] Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras
Gordji, Madjid Eshaghi
ABSTRACT AND APPLIED ANALYSIS, 2010,
[38] Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy ?-2-Normed Spaces and Non-Archimedean Banach Spaces
Tamilvanan, Kandhasamy
Alkhaldi, Ali H.
Agarwal, Ravi P.
Alanazi, Abdulaziz M.
MATHEMATICS, 2023, 11 (02)
[39] Stability of Homomorphisms on Some non-Archimedean Lie Banach Algebras
Yousefi, Bahmann
Ranjbar, Fatemeh
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2016, 40 (02) : 299 - 306
[40] Hyers-Ulam Stability of Quadratic Functional Equation Based on Fixed Point Technique in Banach Spaces and Non-Archimedean Banach Spaces
Tamilvanan, Kandhasamy
Alanazi, Abdulaziz M.
Alshehri, Maryam Gharamah
Kafle, Jeevan
MATHEMATICS, 2021, 9 (20)

← 1 2 3 4 5 →