ON THE STABILITY OF ADDITIVE ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES

被引：0

作者：

Park, Choonkil ^{[1
]}

机构：

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

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2017年 / 23卷 / 01期

关键词：

fuzzy Banach space; additive rho-functional inequality; Hyers-Ulam stability; EQUATION; ALGEBRAS; MAPPINGS;

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 solve the following additive rho-functional inequalities N (f(x + y) - f (x) - f(y) - rho (2f (x +y)/2 - f(x) - f(Y)),t) >= t/t + phi (x, y) (0.1) and N (2f (x + y/2) - f (x) - f (y) - rho (f (x + y) f (y)),t) >= t/t+phi(x, y) (0.2) in fuzzy normed spaces, where rho is a fixed real number with rho not equal 1. Using the direct method, we prove the Hyers-Ulam stability of the additive rho-functional inequalities (0.1) and (0.2) in fuzzy Banach spaces.

引用

页码：70 / 77

页数：8

共 27 条

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[2]

[Anonymous], 1998, Stability of Functional Equations in Several Variables

[3]

Aoki T., 1950, J. Math. Soc. Japan, V2, P64

[4] Fuzzy bounded linear operators [J].