Stability of functional equations of n-Apollonius type in fuzzy ternary Banach algebras

被引：2
|
作者：
Wang, Zhihua [1 ]
Sahoo, Prasanna K. [2 ]
机构：
[1] Hubei Univ Technol, Sch Sci, Wuhan 430068, Hubei, Peoples R China
[2] Univ Louisville, Dept Math, Louisville, KY 40292 USA
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2016年 / 18卷 / 04期
关键词：
Fixed point theorem; fuzzy ternary Banach algebra; functional equation; generalized Hyers-Ulam stability; NORMED SPACES; HOMOMORPHISMS; MAPPINGS; THEOREM;
D O I：
10.1007/s11784-016-0292-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the fixed point method, we investigate the generalized Hyers-Ulam stability of the ternary homomorphisms and ternary derivations between fuzzy ternary Banach algebras for the additive functional equation of n-Apollonius type, namely Sigma(n)(i=1) integral(z - x(i)) = -1/n Sigma(1 <= i <= j <= n) integral(x(i) + x(j)) + n integral(z - 1/n(2) Sigma(n)(i=1) x(i)), where n >= 2 is a fixed positive integer.
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页码：721 / 735
页数：15
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