A FIXED POINT ALTERNATIVE TO THE STABILITY OF A QUADRATIC α-FUNCTIONAL EQUATION IN FUZZY BANACH SPACES

被引：0

作者：

Park, Choonkil ^{[1
]}

Lee, Jung Rye ^{[2
]}

Shin, Dong Yun ^{[3
]}

机构：

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

[2] Daejin Univ, Dept Math, Kyeonggi 11159, South Korea

[3] Univ Seoul, Dept Math, Seoul 02504, South Korea

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2017年 / 22卷 / 07期

关键词：

fuzzy Banach space; quadratic alpha-functional equation; fixed point method; Hyers-Ulam stability; ASTERISK-HOMOMORPHISMS; INEQUALITIES; SUPERSTABILITY; DERIVATIONS;

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 quadratic alpha-functional equation N (2f (x) + 2f (y) - f (x + y) - alpha(-2) f(alpha(x - y)), t) >= t/(t + phi(x, y) (0.1) in fuzzy normed spaces, where rho is a fixed real number with alpha(-1) not equal +/-root 3 Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic alpha-functional equation (0.1) in fuzzy Banach spaces.

引用

页码：1241 / 1248

页数：8