Approximate Quadratic-Additive Mappings in Fuzzy Normed Spaces

被引：0

作者：

Chang, Ick-Soon ^{[1
]}

Lee, Yang-Hi ^{[2
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

[2] Gongju Natl Univ Educ, Dept Math Educ, Gongju 314711, South Korea

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2014年 / 2014卷

基金：

新加坡国家研究基金会;

关键词：

STABILITY;

D O I：

10.1155/2014/494781

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine the generalized Hyers-Ulam stability of the following functional equation: 2f (x + y + z + w) + f (- x - y + z + w) + f (-x + y - z + w) + f (- x + y + z - w) + f (x - y - z + w) + f (x - y + z - w) + f (x + y - z - w) - 5f (x) - 3f (-x) -5f (y) - 3f (- y) - 5f (z) - 3f (-z) - 5f (w) - 3f (-w) = 0, in the fuzzy normed spaces with the fixed point method.

引用

页数：7

共 50 条

[1] Approximate Bi-Additive Mappings in Intuitionistic Fuzzy Normed Spaces
Shokri, Javad
THAI JOURNAL OF MATHEMATICS, 2018, 16 (02): : 315 - 333
[2] Fuzzy approximate m-mappings in quasi fuzzy normed spaces
Wang, Zhihua
Fuzzy Sets and Systems, 2021, 406 : 82 - 92
[3] Fuzzy approximate m-mappings in quasi fuzzy normed spaces
Wang, Zhihua
FUZZY SETS AND SYSTEMS, 2021, 406 : 82 - 92
[4] ON THE STABILITY OF THE QUADRATIC-ADDITIVE TYPE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD
Jin, Sun Sook
Lee, Yang-Hi
KOREAN JOURNAL OF MATHEMATICS, 2012, 20 (01): : 19 - 31
[5] Stability of additive mappings in non-Archimedean fuzzy normed spaces
Mirmostafaee, Alireza Kamel
Moslehian, Mohammad Sal
FUZZY SETS AND SYSTEMS, 2009, 160 (11) : 1643 - 1652
[6] Fuzzy stability of an additive-quadratic functional equation in matrix fuzzy normed spaces
Shokri, Javad
Park, Choonkil
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (03) : 424 - 432
[7] On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces
E. Baktash
Y. J. Cho
M. Jalili
R. Saadati
S. M. Vaezpour
Journal of Inequalities and Applications, 2008
[8] On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces
Baktash, E.
Cho, Y. J.
Jalili, M.
Saadati, R.
Vaezpour, S. M.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
[9] Hyers-Ulam-Rassias Stability of Additive Mappings in Fuzzy Normed Spaces
Wu, Jianrong
Lu, Lingxiao
JOURNAL OF MATHEMATICS, 2021, 2021
[10] Approximate Euler-Lagrange Quadratic Mappings in Fuzzy Banach Spaces
Kim, Hark-Mahn
Lee, Juri
ABSTRACT AND APPLIED ANALYSIS, 2013,

← 1 2 3 4 5 →