A Remark for the Hyers-Ulam Stabilities on n-Banach Spaces

被引:4
|
作者
Choy, Jaeyoo [1 ]
Chu, Hahng-Yun [2 ]
Kim, Ahyoung [2 ]
机构
[1] KIAS, Sch Math, 85 Hoegi Ro, Seoul 02455, South Korea
[2] Chungnam Natl Univ, Dept Math, 79 Daehak Ro, Daejeon 34134, South Korea
关键词
n-Banach space; cubic mappings; quartic mappings; the generalized Hyers-Ulam stability; FRACTIONAL DIFFERENTIAL-EQUATIONS; FUNCTIONAL-EQUATIONS; RASSIAS STABILITY; MAPPINGS; EXISTENCE;
D O I
10.3390/axioms10010002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we deal with stabilities of several functional equations in n-Banach spaces. For a surjective mapping f into a n-Banach space, we prove the generalized Hyers-Ulam stabilities of the cubic functional equation and the quartic functional equation for f in n-Banach spaces.
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页码:1 / 10
页数:10
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