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  • Author: Abasalt Bodaghi x
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Abstract

In the present paper, the Hyers-Ulam stability and also the super-stability of double centralizers and multipliers on Banach algebras are established by using a fixed point method. With this method, the condition of without order on Banach algebras is no longer necessary.

Abstract

In this paper, we introduce and obtain the general solution of a new generalized mixed quadratic and quartic functional equation and investigate its stability in non-Archimedean L-fuzzy normed spaces.

Abstract

In this paper, we present two new fuzzy inner product spaces and investigate some basic properties of these spaces. Specially, we prove parallelogram law for two and three vectors. Also, we introduce a suitable notion of orthogonality.

Abstract

We employ the fact that L1(G) is n-weakly amenable for each n ≥ 1 to show that for an inverse semigroup S with the set of idempotents E, ℓ1(S) is n- weakly module amenable as an ℓ1(E)-module with trivial left action. We study module amenability and weak module amenability of the module projective tensor products of Banach algebras.

Abstract

In this paper, we investigate the general solution and Hyers–Ulam–Rassias stability of a new mixed type of additive and quintic functional equation of the form

f(3x+y)5f(2x+y)+f(2xy)+10f(x+y)5f(xy)=10f(y)+4f(2x)8f(x)
in the set of real numbers.

Abstract

In this paper, we obtain the general solution of the following generalized mixed cubic and quartic functional equation f(x + kx) + f(x − ky) = k2{f(x + y) + f(x−y)}−2(k2 −1)f(x)−2k2(k2 −1)f(y)+ 1/4 k2(k2 −1)f(2y), for fixed integers k with k ≠ 0,±1. The Hyers-Ulam stability problem for the mentioned functional equation is also proved.