Ulam Type Stability of A-Quadratic Mappings in Fuzzy Modular *-Algebras

被引：0
作者：
Kim, Hark-Mahn [1 ]
Shin, Hwan-Yong [1 ]
机构：
[1] Chungnam Natl Univ, Dept Math, 99 Daehangno, Daejeon 34134, South Korea
来源：
MATHEMATICS | 2020年 / 8卷 / 09期
关键词：
fuzzy modular *-algebras; modular *-algebras; A-quadratic derivation; Delta(2)-condition; beta-homogeneous property; FUNCTIONAL-EQUATIONS;
D O I：
10.3390/math8091630
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we find the solution of the following quadratic functional equation n Sigma(1 <= i <= j <= n) Q(x(i) - x(j)) = Sigma(n)(i=1) Q (Sigma(j not equal i) x(j) - (n - 1)x(i)), which is derived from the gravity of the n distinct vectors x(1), ... , x(n) in an inner product space, and prove that the stability results of the A-quadratic mappings in m-complete convex fuzzy modular *-algebras without using lower semicontinuity and beta-homogeneous property.
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页数：13
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