Fixed points and approximately heptic mappings in non-Archimedean normed spaces

被引:3
作者
Park, Choonkil [1 ]
Ghaemi, Mohammad Bagher [2 ]
Majani, Hamid [2 ]
Gordji, Madjid Eshaghi [3 ]
Najati, Abbas [4 ]
机构
[1] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea
[2] Iran Univ Sci & Technol, Dept Math, Tehran, Iran
[3] Semnan Univ, Dept Math, Semnan, Iran
[4] Univ Mohaghegh Ardabili, Fac Math Sci, Dept Math, Ardebil 5619911367, Iran
关键词
heptic functional equation; Hyers-Ulam stability; fixed point method; QUADRATIC FUNCTIONAL-EQUATION; STABILITY; ALGEBRAS;
D O I
10.1186/1687-1847-2013-209
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using the fixed point method, we investigate the stability of the system of additive, quadratic and quartic functional equations with constant coefficients in non-Archimedean normed spaces. Also, we give an example to show that some results in the stability of functional equations in (Archimedean) normed spaces are not valid in non-Archimedean normed spaces.
引用
收藏
页码:1 / 10
页数:10
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