The hyperstability of general linear equation via that of Cauchy equation

被引：0
作者：
Theerayoot Phochai
Satit Saejung
机构：
[1] Khon Kaen University,Department of Mathematics, Faculty of Science
来源：
Aequationes mathematicae | 2019年 / 93卷
关键词：
Hyperstability; General linear equation; Cauchy equation; Primary 39B82; 39B62; Secondary 47H14; 47J20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we show that the hyperstability of the general linear equation recently proved by Piszczek (Aequationes Math 88:163–168, 2014) is a direct consequence of that of the Cauchy equation proved earlier by Brzdȩk (Acta Math Hung 141:58–67, 2013).
引用
收藏
页码：781 / 789
页数：8
相关论文
共 15 条
[1]  
Bahyrycz A(2016)Hyperstability of general linear functional equation Aequationes Math. 90 527-540
[2]  
Olko J(2017)On stability and hyperstability of an equation characterizing multi-additive mappings Fixed Point Theory 18 445-456
[3]  
Bahyrycz A(2018)On stability and hyperstability of an equation characterizing multi-Cauchy–Jensen mappings Results Math. 73 55-6732
[4]  
Bahyrycz A(2011)A fixed point approach to stability of functional equations Nonlinear Anal. 74 6728-67
[5]  
Olko J(2013)Hyperstability of the Cauchy equation on restricted domains Acta Math. Hung. 141 58-96
[6]  
Brzdȩk J(2015)Remarks on stability of some inhomogeneous functional equations Aequationes Math. 89 83-99
[7]  
Chudziak J(1990)Jensen’s functional equation on groups Aequationes Math. 39 85-218
[8]  
Páles Z(1992)On Jensen’s functional equation Aequationes Math. 43 211-168
[9]  
Brzdȩk J(2014)Remark on hyperstability of the general linear equation Aequationes Math. 88 163-1838
[10]  
Brzdȩk J(2015)Hyperstability of the general linear functional equation Bull. Korean Math. Soc. 52 1827-undefined
12