Functional Inequalities in Fuzzy Normed Spaces

被引：0
|
作者：
Lee, Jung Rye [1 ]
Saadati, Reza [2 ]
Shin, Dong Yun [3 ]
机构：
[1] Daejin Univ, Dept Math, Pochon, South Korea
[2] Iran Univ Sci & Technol, Tehran, Iran
[3] Univ Seoul, Dept Math, Seoul, South Korea
来源：
COMPUTATIONAL ANALYSIS, AMAT 2015 | 2016年 / 155卷
关键词：
STABILITY; HOMOMORPHISMS;
D O I：
10.1007/978-3-319-28443-9_16
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the following functional inequalities parallel to f(x) + f(y) + f(z)parallel to <= parallel to f(x + y + z)parallel to and parallel to f(x) + f(y) + 2f(z)parallel to <= parallel to 2f(x + y/2 + z)parallel to in fuzzy normed vector spaces, and prove the Hyers-Ulam stability of the above functional inequalities in fuzzy Banach spaces in the spirit of the Th. M. Rassias' stability approach.
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页码：225 / 245
页数：21
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