In this paper, we prove the hyperstability of the following mixed additive-quadratic-Jensen functional equation 2f(x+y2)+f(x−y2)+f(y−x2)=f(x)+f(y)$$2f({{x + y} \over 2}) + f({{x - y} \over 2}) + f({{y - x} \over 2}) = f(x) + f(y)$$ in the class of functions from an 2-divisible abelian group G into a Banach space
AbstractIn this paper, we investigate approximate additive mappings, approximate Jensen mappings and...
Let (G, +) be a uniquely 2-divisible Abelian group. In the present paper we will consider the soluti...
In this paper, we investigate the quadratic alpha-functional equation 2f (x) + 2 f (y) - f (x y) ...
We have proved theHyers-Ulam stability and the hyperstability of the quadratic functional equation f...
Using the fixed point method, we prove the hyperstablity of the functional equation f (ax + by) = ...
AbstractIn this paper, we prove the generalized Hyers–Ulam stability of the following mixed additive...
In this paper the stability of quadratic functional equation, f(xy)+f(xy-1)=2f(x)+2f(y) on class of ...
Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach ...
AbstractThe aim of this paper is to study the stability problem of the d'Alembert type and Jensen ty...
AbstractLet f:S→X map an abelian semigroup (S,+) into a Banach space (X‖⋅‖). We deal with stability ...
AbstractLet G be an Abelian group with a metric d and E a normed space. For any f:G→E we define the ...
ABSTRACT. In this paper we obtain the Hyers-Ulam-Rassias stability for the generalized Jensen’s func...
We prove the Hyers-Ulam stability of the Cauchy functional inequality and the Cauchy-Jensen function...
We investigate Pexider--type functional equation $$\max\{f(x+y),f(x-y)\}=f(x)g(y)+h(y),\quad x,y\in ...
Let N be the set of all positive integers, G an Abelian group with a metric d and E a normed space. ...
AbstractIn this paper, we investigate approximate additive mappings, approximate Jensen mappings and...
Let (G, +) be a uniquely 2-divisible Abelian group. In the present paper we will consider the soluti...
In this paper, we investigate the quadratic alpha-functional equation 2f (x) + 2 f (y) - f (x y) ...
We have proved theHyers-Ulam stability and the hyperstability of the quadratic functional equation f...
Using the fixed point method, we prove the hyperstablity of the functional equation f (ax + by) = ...
AbstractIn this paper, we prove the generalized Hyers–Ulam stability of the following mixed additive...
In this paper the stability of quadratic functional equation, f(xy)+f(xy-1)=2f(x)+2f(y) on class of ...
Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach ...
AbstractThe aim of this paper is to study the stability problem of the d'Alembert type and Jensen ty...
AbstractLet f:S→X map an abelian semigroup (S,+) into a Banach space (X‖⋅‖). We deal with stability ...
AbstractLet G be an Abelian group with a metric d and E a normed space. For any f:G→E we define the ...
ABSTRACT. In this paper we obtain the Hyers-Ulam-Rassias stability for the generalized Jensen’s func...
We prove the Hyers-Ulam stability of the Cauchy functional inequality and the Cauchy-Jensen function...
We investigate Pexider--type functional equation $$\max\{f(x+y),f(x-y)\}=f(x)g(y)+h(y),\quad x,y\in ...
Let N be the set of all positive integers, G an Abelian group with a metric d and E a normed space. ...
AbstractIn this paper, we investigate approximate additive mappings, approximate Jensen mappings and...
Let (G, +) be a uniquely 2-divisible Abelian group. In the present paper we will consider the soluti...
In this paper, we investigate the quadratic alpha-functional equation 2f (x) + 2 f (y) - f (x y) ...