On approximate homomorphisms of ternary semigroups

被引：1
|
作者：
Cieplinski, Krzysztof [1 ]
机构：
[1] AGH Univ Sci & Technol, Fac Appl Math, Mickiewicza 30, PL-30059 Krakow, Poland
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 08期
关键词：
Ulam stability; (commutative) ternary semigroup; ternary homomorphism; n-Banach space; (complete) non-Archimedean normed space; p-adic numbers; FUNCTIONAL-EQUATIONS; STABILITY;
D O I：
10.22436/jnsa.010.08.03
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the generalized Ulam stability of ternary homomorphisms from commutative ternary semigroups into n-Banach spaces as well as into complete non-Archimedean normed spaces. Ternary algebraic structures appear in various domains of theoretical and mathematical physics, and p-adic numbers, which are the most important examples of non-Archimedean fields, have gained the interest of physicists for their research in some problems coming from quantum physics, p-adic strings and superstrings. (C) 2017 All rights reserved.
引用
收藏
页码：4071 / 4076
页数：6
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