Fixed points and partial multipliers in Banach algebras

被引：0

作者：

Hwang, Inho ^{[1
]}

Park, Choonkil ^{[2
]}

机构：

[1] Incheon Natl Univ, Dept Math, Incheon 22012, South Korea

[2] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2020年 / 22卷 / 01期

关键词：

Partial multiplier; fixed point method; C*-algebra; Hyers-Ulam stability; additive functional inequality; C*-ternary algebra; Lie C*-algebra; JC *-algebra; RHO-FUNCTIONAL INEQUALITIES; JC-ASTERISK-ALGEBRAS; RASSIAS STABILITY; HOMOMORPHISMS; EQUATION;

D O I：

10.1007/s11784-019-0751-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we solve the additive functional inequalities where s is a fixed nonzero complex number with vertical bar s vertical bar < 1. Using the fixed point method, we prove the Hyers-Ulam stability of the additive functional inequalities (1) and (2) in complex Banach spaces. This is applied to investigate partial multipliers in Banach*-algebras, unital C*-algebras, Lie C*-algebras, JC*-algebras and C*-ternary algebras, associated with the additive functional inequalities (1) and (2).

引用

页数：23

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