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.

引用

页码：703 / 715

页数：13

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