In this paper, after a reviewing the concept of frames of translate, we introduce some of its generalizations.
In particular, we consider frames of translates on L2-R,CN- as a Hilbert MN-C--module. Next we study
this ...

In this paper we study general solutions and generalized Hyers-Ulam-Rassias stability of the following function equation

$$

f(x-\\\\sum_{i=1}^{k}x_{i})+(k-1)f(x)+(k-1)\\\\sum_{i=1}^{k}f(x_{i})

=f(x- ...

We introduce the notion of regularized quasi-semigroup of bounded linear operators on Banach

spaces and its infinitesimal generator, as a generalization of regularized semigroups of operators.

After some ...

Suppose $X$ is a Banach space and $C$ is an injective operator in

$B(X)$, the space of all bounded linear operators on $X$. In this

note two-parameter $C$-semigroup (regularized semigroup) of

operators ...

In this paper we study general solutions and Hyers-Ulam-Rassias stability of the following function equation

\\\\begin{equation}\\\\label{0}

(4-k)f(\\\\sum_{i=1}^{k}x_{i})+\\\\sum_{j=1}^{k}f((\\\\sum_{i=1, ...

In this paper we study general solutions of the following Pexider functional equation

\\\\\\\\begin{eqnarray}

(4-k)f_{1}(\\\\\\\\sum_{i=1}^{k}x_{i})+

\\\\\\\\sum_{j=2}^{k}f_{j}((\\\\\\\\sum_{i=1,i\ ...

In this paper the Felbin s type fuzzy 2-norm on a vector space is introduced, when L= min and R= max and then

one of its fuzzy I-topologies is constructed. After making our elementary

observations on ...

In this paper, the Hyers-Ulam

stability of the Volterra integrodifferential equation



x\\\\\\'(t)=g(t,x(t))+int_0^tK(t,s,x(s))ds,



and the Volterra equation



x(t)=g(t,x(t) ...

In this paper we study general solutions and generalized Hyers-Ulam-Rassias stability of the following n-dimentional function equation

\\\\[

f(\\\\sum_{i=1}^{k}x_{i})+(k-2)\\\\sum_{i=1}^{k}f(x_{i})=\\\\sum ...

In this paper, using a ¯xed point approach, the generalized

Hyeres{Ulam stability of the following quadratic functional equation

f(x+y+z)+f(x+¾(y))+f(y+¾(z))+f(x+¾(z)) = 3(f(x)+f(y)+f(z))

will be ...