Approximate solution of radical quartic functional equation related to additive mapping in 2-Banach spaces

被引：28
作者：
El-Fassi, Iz-Iddine [1 ]
机构：
[1] Ibn Tofail Univ, Dept Math, Fac Sci, BP 133, Kenitra, Morocco
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 455卷 / 02期
关键词：
Brzdgk's fixed point theorem; Radical quartic equations; Generalized Ulam stability; 2-normed spaces; STABILITY;
D O I：
10.1016/j.jmaa.2017.06.078
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is first to reformulate the fixed point theorem [4, Theorem 1] in 2-Banach spaces, after it, we introduce and solve the radical quartic functional equation f (4 root x(4) + y(4)) = f(x) + f(y). We also show that the fixed point methods allow to investigate Ulam's type stability of radical quartic functional equation in 2-Banach spaces. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：2001 / 2013
页数：13
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