- Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran
- (+98)(511)(8828606)
Mohammad Sal Moslehian
Ferdowsi University of Mashhad, Pure Mathematics, Faculty Member
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... Almost Derivations on $C^*$-Ternary Rings. Mohammad Sal Moslehian. Source: Bull. Belg. Math. Soc. Simon Stevin Volume 14, Number 1 (2007), 135-142. Abstract. We establish the generalized Hyers-Ulam-Rassias stability ...
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Abstract. Let A be a normed algebra and X a normed A-bimodule. By a ternary derivation we mean a triple (D1, D2, D3) of linear mappings D1, D2, D3 : A → X such that D1(ab) = D2(a)b + aD3(b) for all a, b ∈ A. Our aim is to establish the... more
Abstract. Let A be a normed algebra and X a normed A-bimodule. By a ternary derivation we mean a triple (D1, D2, D3) of linear mappings D1, D2, D3 : A → X such that D1(ab) = D2(a)b + aD3(b) for all a, b ∈ A. Our aim is to establish the stability of ternary derivations ...
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One of the interesting questions in the theory of functional equations is the following (see [GRU]): When is it true that a function which approximately satisfies a functional equation E must be close to an exact solution of E? If there... more
One of the interesting questions in the theory of functional equations is the following (see [GRU]): When is it true that a function which approximately satisfies a functional equation E must be close to an exact solution of E? If there exists an affirmative answer we say that the ...
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We prove the generalized stability of the cubic type functional equation $$f(2x+y)+f(2x-y)=2f(x +y)+2f(xy)+12f(x)$$ and another functional equation $$f(ax+y)+f(x+ay)=(a+1)(a-1)^{2}[f(x)+f(y )] +a(a+1)f(x+y),$$ where $a$ is an integer with... more
We prove the generalized stability of the cubic type functional equation $$f(2x+y)+f(2x-y)=2f(x +y)+2f(xy)+12f(x)$$ and another functional equation $$f(ax+y)+f(x+ay)=(a+1)(a-1)^{2}[f(x)+f(y )] +a(a+1)f(x+y),$$ where $a$ is an integer with $a \neq 0, \pm 1$ in the framework of non-...
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Summary. Suppose that (X, ⊥) is a symmetric orthogonality module and Y a Banach module over a unital Banach algebra A and f : X →Y is a mapping satisfying " "f(ax1 + ax2)+(−1)k+1f( ax1 − ax2) −... more
Summary. Suppose that (X, ⊥) is a symmetric orthogonality module and Y a Banach module over a unital Banach algebra A and f : X →Y is a mapping satisfying " "f(ax1 + ax2)+(−1)k+1f( ax1 − ax2) − 2af(xk)" " ≤ ǫ, ... " "f(x) − f(0) − T(x)" " ≤ 5 2 ǫ, ... Mathematics Subject ...
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Abstract. Let f denote a mapping from an orthogonality space (X, ⊥) into a real Ba-nach space Y. In this paper, we prove the HyersUlam stability of the orthogonally cubic functional equations f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y) + 12f(x) and... more
Abstract. Let f denote a mapping from an orthogonality space (X, ⊥) into a real Ba-nach space Y. In this paper, we prove the HyersUlam stability of the orthogonally cubic functional equations f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y) + 12f(x) and f(x+y + 2z)+f(x+y−2z)+f(2x)+f(2y)=2f(x+y)+4f( ...