3-VARIABLE ADDITIVE ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES

被引：0

作者：

Jung, Joonhyuk ^{[1
]}

Lee, Junehyeok ^{[1
]}

Anastassiou, George A. ^{[2
]}

Park, Choonkil ^{[3
]}

机构：

[1] Seoul Sci High Sch, Math Branch, Seoul 110530, South Korea

[2] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

[3] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2017年 / 22卷 / 04期

关键词：

Hyers-Ulam stability; additive rho-functional inequality; fuzzy normed space; ASTERISK-HOMOMORPHISMS; STABILITY; SUPERSTABILITY; DERIVATIONS; EQUATION;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we introduce and investigate the following additive rho-functional in-equalities N(f (x + y + z) - f (x) - f (y) - f (z), t) >= N (rho (2f (x + y/2 + z) - f (x) - f (y) - 2f(z)) , t), N (2f (x + y + z) - f (x) - f (y) - 2f (z), t) >= N (rho (2f (x + y + z/2) - f (x) - f (y) - f (z)) , t), N(f (x + y + z) - f(x) - f(y) - f (z), t) >= N (rho(2f (x + y + z/2) - f (x) - f (y) - f (z)) , t) in fuzzy normed spaces. Furthermore, we prove the Hyers-Ulam stability of the above additive rho-functional inequalities in fuzzy Banach spaces.

引用

页码：684 / 698

页数：15

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