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.
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收藏
页码：1241 / 1248
页数：8
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