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Stability of generalized mixed type additive-quadratic-cubic functional equation in non-Archimedean spaces  [PDF]
M. Eshaghi Gordji,M. Bavand Savadkouhi,Th. M. Rassias
Mathematics , 2009,
Abstract: In this paper, we prove generalized Hyres--Ulam--Rassias stability of the mixed type additive, quadratic and cubic functional equation $$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+2(1-k^2)f(x)$$ for fixed integers $k$ with $k\neq0,\pm1$ in non-Archimedean spaces.
On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi-Banach Spaces  [cached]
Gordji MEshaghi,Abbaszadeh S,Park Choonkil
Journal of Inequalities and Applications , 2009,
Abstract: We establish the general solution of the functional equation for fixed integers with and investigate the generalized Hyers-Ulam stability of this equation in quasi-Banach spaces.
On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi-Banach Spaces
M. Eshaghi Gordji,S. Abbaszadeh,Choonkil Park
Journal of Inequalities and Applications , 2009, DOI: 10.1155/2009/153084
Abstract: We establish the general solution of the functional equation f(nx+y)+f(nx y)=n2f(x+y)+n2f(x y)+2(f(nx) n2f(x)) 2(n2 1)f(y) for fixed integers n with n≠0,±1 and investigate the generalized Hyers-Ulam stability of this equation in quasi-Banach spaces.
Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces  [PDF]
M. Eshaghi Gordji,H. Khodaei
Mathematics , 2008,
Abstract: In this paper, we achieve the general solution and the generalized Hyers-Ulam-Rassias stability of the following functional equation $$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+2(1-k^2)f(x)\eqno {2 cm}$$for fixed integers $k$ with $k\neq0,\pm1$ in the quasi-Banach spaces.
On the stability of generalized mixed type quadratic and quartic functional equation in quasi-Banach spaces  [PDF]
S. Abbaszadeh,M. Eshaghi Gordji
Mathematics , 2008,
Abstract: In this paper, we establish the general solution of the functional equation $$f(nx+y)+f(nx-y)=n^2f(x+y)+n^2f(x-y)+2(f(nx)-n^2f(x))-2(n^2-1)f(y)\eqno {0 cm}$$for fixed integers $n$ with $n\neq0,\pm1$ and investigate the generalized Hyers-Ulam-Rassias stability of this equation in quasi-Banach spaces.
Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point Approach  [cached]
Park Choonkil
Fixed Point Theory and Applications , 2008,
Abstract: Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation in Banach spaces.
Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces
M. Eshaghi Gordji,H. Azadi Kenary,H. Rezaei,Y. W. Lee,G. H. Kim
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/953938
Abstract: By using fixed point methods and direct method, we establish thegeneralized Hyers-Ulam stability of the following additive-quadratic functional equation (
Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation  [cached]
Gordji Madjid,Kamyar Mahdie,Khodaei Hamid,Shin Dong
Journal of Inequalities and Applications , 2011,
Abstract: 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.
Fixed Points and Random Stability of a Generalized Apollonius Type Quadratic Functional Equation  [cached]
Kim MinJune,Schin SeungWon,Ki Dohyeong,Chang Jaewon
Fixed Point Theory and Applications , 2011,
Abstract: Using the fixed-point method, we prove the generalized Hyers-Ulam stability of a generalized Apollonius type quadratic functional equation in random Banach spaces.
Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point Approach  [cached]
Choonkil Park
Fixed Point Theory and Applications , 2008, DOI: 10.1155/2008/493751
Abstract: Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation f(2x+y)=4f(x)+f(y)+f(x+y) ¢ ’f(x ¢ ’y) in Banach spaces.
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