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math.FA2009★ 1 cited
On the Mazur--Ulam theorem in fuzzy n--normed strictly convex spaces
M. Eshaghi Gordji, S. Abbaszadeh, Th. M. Rassias
In this paper, we generalize the Mazur--Ulam theorem in the fuzzy real n-normed strictly convex spaces.
math.FA2008★ 17 cited
On the stability of generalized mixed type quadratic and quartic functional equation in quasi-Banach spaces
S. Abbaszadeh, M. Eshaghi Gordji
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 …