A note on Ulam stability of some fuzzy number-valued functional equations

被引：11
|
作者：
Wu, Jian-Rong [1 ]
Jin, Zhen-Yu [1 ]
机构：
[1] Suzhou Univ Sci & Technol, Sch Math & Phys, Suzhou 215009, Jiangsu, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2019年 / 375卷
基金：
中国国家自然科学基金;
关键词：
Ulam stability; Fuzzy number-valued mapping; Functional equation; Fuzzy analysis;
D O I：
10.1016/j.fss.2018.10.018
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This note investigates the Ulam stability of the following fuzzy number-valued functional equations in Banach spaces by using the metric defined on a fuzzy number space: f (x+y/2) + f (x-y/2) = f (x) and f(ax + by) = rf (x) + sf (y). (C) 2018 Elsevier B.V. All rights reserved.
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页码：191 / 195
页数：5
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