Fuzzy approximately cubic mappings

被引：117
作者：
Mirmostafaee, Alireza Kamel
Moslehian, Mohammad Sal [1 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad 91775, Iran
来源：
INFORMATION SCIENCES | 2008年 / 178卷 / 19期
关键词：
fuzzy normed space; cubic functional equation; fuzzy Hyers-Ulam-Rassias stability; fuzzy continuity; fuzzy completeness;
D O I：
10.1016/j.ins.2008.05.032
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We establish some stability results concerning the cubic functional equation f(2x +y) +f(2x -y) = 2f(x +y) + 2f(x -y) + 12f(x) in fuzzy normed spaces. We discuss the fuzzy continuity of the cubic mappings and show that the existence of a solution for any approximately cubic mapping guarantees the completeness of the fuzzy normed space. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：3791 / 3798
页数：8
相关论文
共 30 条
[1]  
[Anonymous], 1964, PROBLEMS MODERN MATH
[2]  
[Anonymous], J HARBIN I TECHNOL
[3]  
[Anonymous], 2001, Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis
[4]  
Aoki T., 1950, J MATH SOC JAPAN, V2, P64, DOI DOI 10.2969/JMSJ/00210064
[5]  
Baak C, 2007, KYUNGPOOK MATH J, V47, P69
[6]   Fuzzy bounded linear operators [J].
Bag, T ;
Samanta, SK .
FUZZY SETS AND SYSTEMS, 2005, 151 (03) :513-547
[7]  
Bag T., 2003, J Fuzzy Math, V11, P687
[8]   Distance and similarity measures for fuzzy operators [J].
Balopoulos, Victor ;
Hatzimichailidis, Anestis G. ;
Papadopoulos, Basil K. .
INFORMATION SCIENCES, 2007, 177 (11) :2336-2348
[9]   FUZZY INNER PRODUCT-SPACES AND FUZZY NORM FUNCTIONS [J].
BISWAS, R .
INFORMATION SCIENCES, 1991, 53 (1-2) :185-190
[10]  
Cheng S. C., 1994, Bull Calcutta Math Soc, V86, P429
123