On the fuzzy stability of a generalized Jensen quadratic functional equation

被引:0
作者
Kenary, Hassan Azadi [2 ]
Park, Choonkil [3 ]
Lee, Sung Jin [1 ]
机构
[1] Daejin Univ, Dept Math, Kyeonggi 487711, South Korea
[2] Univ Yasuj, Dept Math, Coll Sci, Yasuj 75914353, Iran
[3] Hanyang Univ, Dept Math, Res Inst Nat Sci, Seoul 133791, South Korea
关键词
Hyers-Ulam stability; fuzzy Banach space; generalized Jensen functional equation; fixed point method; BANACH MODULES; SPACES; MAPPINGS; THEOREM;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Using the fixed point method, we prove the Hyers-Ulam stability of the following generalized Jensen quadratic functional equation f (x + y/r + sz) + f (x + y/r - sz) + f (x - y/r + sz) + f (x - y/r - sz) = 4/r(2) f(x) + 4/r(2) f(y) + 4s(2) f (z) in fuzzy Banach spaces.
引用
收藏
页码:1118 / 1129
页数:12
相关论文
共 28 条
[1]  
[Anonymous], ABH MATH SEMIN U HAM
[2]   Fuzzy bounded linear operators [J].
Bag, T ;
Samanta, SK .
FUZZY SETS AND SYSTEMS, 2005, 151 (03) :513-547
[3]  
Bag T., 2003, J FUZZY MATH, V11, P687
[4]  
Cdariu L., 2003, J INEQUAL PURE APPL, V4, P4
[5]  
Cheng S. C., 1994, B CALCUTTA MATH SOC, V86, P429
[6]  
Cholewa P.W., 1984, Aequat. Math, V27, P76, DOI [10.1007/BF02192660, DOI 10.1007/BF02192660]
[7]   A FIXED POINT THEOREM OF ALTERNATIVE FOR CONTRACTIONS ON A GENERALIZED COMPLETE METRIC SPACE [J].
DIAZ, JB ;
MARGOLIS, B .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 74 (02) :305-&
[8]   FINITE DIMENSIONAL FUZZY NORMED LINEAR-SPACE [J].
FELBIN, C .
FUZZY SETS AND SYSTEMS, 1992, 48 (02) :239-248
[9]   A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS [J].
GAVRUTA, P .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) :431-436
[10]   On the stability of the linear functional equation [J].
Hyers, DH .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224