Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation

被引:2
作者
Gordji, Madjid Eshaghi [2 ,3 ]
Kamyar, Mahdie [2 ,3 ]
Khodaei, Hamid [2 ,3 ]
Shin, Dong Yun [4 ]
Park, Choonkil [1 ]
机构
[1] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea
[2] Semnan Univ, Dept Math, Semnan, Iran
[3] Semnan Univ, Ctr Excellence Nonlinear Anal & Applicat Cenaa, Semnan, Iran
[4] Univ Seoul, Dept Math, Seoul 130743, South Korea
基金
新加坡国家研究基金会;
关键词
fuzzy Hyers-Ulam stability; mixed functional equation; fuzzy normed space; ULAM-RASSIAS STABILITY; FIXED-POINT APPROACH; MAPPINGS;
D O I
10.1186/1029-242X-2011-95
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove the generalized Hyers-Ulam stability of generalized mixed type cubic, quadratic, and additive functional equation, in fuzzy Banach spaces. 2010 Mathematics Subject Classification: 39B82; 39B52.
引用
收藏
页码:1 / 22
页数:22
相关论文
共 48 条
[21]   On the stability of J*-derivations [J].
Gordji, M. Eshaghi ;
Ghaemi, M. B. ;
Gharetapeh, S. Kaboli ;
Shams, S. ;
Ebadian, A. .
JOURNAL OF GEOMETRY AND PHYSICS, 2010, 60 (03) :454-459
[22]   Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation [J].
Gordji, M. Eshaghi ;
Gharetapeh, S. Kaboli ;
Rassias, J. M. ;
Zolfaghari, S. .
ADVANCES IN DIFFERENCE EQUATIONS, 2009,
[23]   Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces [J].
Gordji, M. Eshaghi ;
Khodaei, H. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) :5629-5643
[24]   Approximately n-Jordan Homomorphisms on Banach Algebras [J].
Gordji, M. Eshaghi ;
Karimi, T. ;
Gharetapeh, S. Kaboli .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
[25]   On the Generalized Hyers-Ulam-Rassias Stability of Quadratic Functional Equations [J].
Gordji, M. Eshaghi ;
Khodaei, H. .
ABSTRACT AND APPLIED ANALYSIS, 2009,
[26]   Stability of a Functional Equation Deriving from Cubic and Quartic Functions [J].
Gordji, M. Eshaghi ;
Ebadian, A. ;
Zolfaghari, S. .
ABSTRACT AND APPLIED ANALYSIS, 2008,
[27]   STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONS [J].
Gordji, Madjid Eshaghi .
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (03) :491-502
[28]   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
[29]   Ulam stability problem for a mixed type of cubic and additive functional equation [J].
Jun, Kil-Woung ;
Kim, Hark-Mahn .
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2006, 13 (02) :271-285
[30]   The generalized Hyers-Ulam-Rassias stability of a cubic functional equation [J].
Jun, KW ;
Kim, HM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 274 (02) :867-878