On approximate ring homomorphisms

被引:68
作者
Badora, R [1 ]
机构
[1] Silesian Univ, Inst Math, PL-40007 Katowice, Poland
关键词
D O I
10.1016/S0022-247X(02)00293-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the stability of a generalization of the Bourgin's result on approximate ring homomorphisms. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码:589 / 597
页数:9
相关论文
共 8 条
[1]  
ACZEL J, 1966, LECT FUNCTIONAL EQUA
[3]  
Gajda Z, 1991, INT J MATH MATH SCI, V14, P431, DOI [DOI 10.1155/S016117129100056X, 10.1155/S016117129100056X]
[4]  
Hyers D.H., 1998, Stability of Functional Equations in Several Variables
[5]   On the stability of the linear functional equation [J].
Hyers, DH .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224
[6]  
JOHNSON BE, 1988, J LOND MATH SOC, V37, P294
[7]   STABILITY OF LINEAR MAPPING IN BANACH-SPACES [J].
RASSIAS, TM .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 72 (02) :297-280
[8]  
Ulam S. M., 1960, A Collection of Mathematical Problems