Fixed points and generalized stability for quadratic and quartic mappings in C*-algebras

被引：0
|
作者：
Gordji, M. E. [1 ]
Khodaei, H. [2 ]
Rassias, Th. M. [3 ]
机构：
[1] Semnan Univ, Dept Math, Semnan, Iran
[2] Malayer Univ, Dept Math, Malayer, Iran
[3] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2015年 / 17卷 / 04期
关键词：
beta-Banach space; C*-algebra; fixed point; homogeneous map; stability; FUNCTIONAL-EQUATION;
D O I：
10.1007/s11784-015-0251-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the following quadratic and quartic functional equations: f (root xx* + yy*) = f(x) + f(y), f (root xx* + yy*) + f(root vertical bar xx* - yy*vertical bar) = 2f(x) + 2f(y) in C*-algebras. We also prove the stability of these functional equations in beta-normed spaces by using the Banach fixed point theorem and a direct method.
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页码：703 / 715
页数：13
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