most citedStability of generalized mixed type additive-quadratic-cubic functional equation in non-Archimedean spaces

4 citations · 6 across the 5 of their papers we have counts for

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5 papers

math.FA20094 cited

Stability of generalized mixed type additive-quadratic-cubic functional equation in non-Archimedean spaces

M. Eshaghi Gordji, M. Bavand Savadkouhi, Th. M. Rassias

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…

math.FA2009

Quadratic--quartic functional equations in RN--spaces

M. Eshaghi Gordji, M. Bavand Savadkouhi, C. Park

In this paper, 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

math.CA2009

On approximate cubic homomorphisms

M. Eshaghi Gordji, M. Bavand Savadkouhi

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)+1…

math.FA20081 cited

Stability of cubic and quartic functional equations in non-Archimedean spaces

M. Eshaghi Gordji, M. Bavand Savadkouhi

We prove generalized Hyres-Ulam-Rassias stability of the cubic functional equation for all and the quartic functional…

math.OA20081 cited

Stability of homomorphisms and derivations in -ternary algebras

M. Bavand Savadkouhi, M. Eshaghi Gordji, N. Ghobadipour

In this paper, we investigate homomorphisms between -ternary algebras and derivations on -ternary algebras, associated with the following functional equation $$f(\frac{x_…