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Search Results: 1 - 10 of 495067 matches for " M. B. Savadkouhi "
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Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
M. Eshaghi Gordji,M. B. Savadkouhi
Journal of Inequalities and Applications , 2009, DOI: 10.1155/2009/527462
Abstract: We obtain the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary t-norms f(x+2y)+f(x 2y)=4[f(x+y)+f(x y)] 24f(y) 6f(x)+3f(2y).
Approximately Ternary Homomorphisms and Derivations on -Ternary Algebras
M. Eshaghi Gordji,A. Ebadian,N. Ghobadipour,J. M. Rassias,M. B. Savadkouhi
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/984160
Abstract: We investigate the stability and superstability of ternary homomorphisms between ?-ternary algebras and derivations on ?-ternary algebras, associated with the following functional equation ((2?1)/3)
Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces
M. Eshaghi Gordji,S. Zolfaghari,J. M. Rassias,M. B. Savadkouhi
Abstract and Applied Analysis , 2009, DOI: 10.1155/2009/417473
Abstract: We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation (
Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
Eshaghi Gordji M,Savadkouhi MB
Journal of Inequalities and Applications , 2009,
Abstract: We obtain the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary -norms .
On Approximate Cubic Homomorphisms
Eshaghi Gordji M,Bavand Savadkouhi M
Advances in Difference Equations , 2009,
Abstract: We investigate the generalized Hyers-Ulam-Rassias stability of the system of functional equations: , , on Banach algebras. Indeed we establish the superstability of this system by suitable control functions.
On Approximate Cubic Homomorphisms
M. Eshaghi Gordji,M. Bavand Savadkouhi
Advances in Difference Equations , 2009, DOI: 10.1155/2009/618463
Abstract: We investigate the generalized Hyers-Ulam-Rassias stability of the system of functional equations: f(xy)=f(x)f(y), f(2x+y)+f(2x y)=2f(x+y)+2f(x y)+12f(x), on Banach algebras. Indeed we establish the superstability of this system by suitable control functions.
Stability of cubic and quartic functional equations in non-Archimedean spaces
M. Eshaghi Gordji,M. Bavand Savadkouhi
Mathematics , 2008,
Abstract: We prove generalized Hyres-Ulam-Rassias stability of the cubic functional equation $f(kx+y)+f(kx-y)=k[f(x+y)+f(x-y)]+2(k^3-k)f(x)$ for all $k\in \Bbb N$ and the quartic functional equation $f(kx+y)+f(kx-y)=k^2[f(x+y)+f(x-y)]+2k^2(k^2-1)f(x)-2(k^2-1)f(y)$ for all $k\in \Bbb N$ in non-Archimedean normed spaces.
On approximate cubic homomorphisms
M. Eshaghi Gordji,M. Bavand Savadkouhi
Mathematics , 2009,
Abstract: In this paper, we investigate the generalized Hyers--Ulam--Rassias stability of the system of functional equations $$f(xy)=f(x)f(y), \qquad\qquad. f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x), $$ on Banach algebras. Indeed we establish the superstability of above system by suitable control functions.
Stability of generalized mixed type additive-quadratic-cubic functional equation in non-Archimedean spaces
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.
Quadratic-Quartic Functional Equations in RN-Spaces
M. Eshaghi Gordji,M. Bavand Savadkouhi,Choonkil Park
Journal of Inequalities and Applications , 2009, DOI: 10.1155/2009/868423
Abstract: We obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary t-norms f(2x+y)+f(2x y)=4[f(x+y)+f(x y)]+2[f(2x) 4f(x)] 6f(y).
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