Stability of the Jensen-Type Functional Equation in C*-Algebras: A Fixed Point Approach

被引：39
|
作者：
Park, Choonkil [1 ]
Rassias, John Michael [2 ]
机构：
[1] Hanyang Univ, Dept Math, Seoul 133791, South Korea
[2] Natl & Capodistrian Univ Athens, Pedag Dept EE, Athens 15342, Greece
来源：
ABSTRACT AND APPLIED ANALYSIS | 2009年
关键词：
APPROXIMATELY LINEAR MAPPINGS; ULAM-RASSIAS STABILITY; BANACH MODULES; HOMOMORPHISMS; DERIVATIONS; SPACES;
D O I：
10.1155/2009/360432
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C*-algebras and Lie C*-algebras and also of derivations on C*-algebras and Lie C*-algebras for the Jensen-type functional equation f ((x + y)/2) + f ((x - y)/2) = f (x). Copyright (C) 2009 C. Park and J. M. Rassias.
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页数：17
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