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.

引用

页码：225 / 245

页数：21

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