Add to ORKGWe will establish stability of Fréchet functional equation $$Delta_{x_1, dots, x_n}^nf(y)= 0$$ in non-Archimedean normed spaces for some unbounded control function. Among some applications of our results, we will give a counterexample to show that the nature of stability in non-Archimedean normed spaces is different from one in classical normed spaces
Using direct method, Kenary (Acta Universitatis Apulensis, to appear) proved the Hyers-Ulam stabilit...
Abstract. We establish a new method to prove Hyers-Ulam-Rassias stability of the quartic functional ...
In this paper, we prove the stability of Euler-Lagrange quadratic map-pings in the framework of non-...
AbstractIn this paper, we prove the Hyers–Ulam–Rassias stability of the mixed type cubic–quartic fun...
We study the stability of the functional equation ∆nxf(y) = n!f(x) in non-Archimedean spaces in the...
In this paper, we investigate the stability in the sense of Hyers-Ulam for aclass of the following t...
AbstractIn this work, we prove the generalized Hyers–Ulam stability of the following functional ineq...
AbstractLee et al. considered the following quadratic functional equation f(lx+y)+f(lx−y)=2l2f(x)+2f...
The Hyers-Ulam stability of a quintic functional equation in the normed spaces and non-Archimedean ...
Abstract. We give a xed point approach to the generalized Hyers-Ulam stability of the cubic equation...
In this paper, we solve the additive functional inequality and the quadratic functional inequality i...
We investigate the generalized Hyers-Ulam stability of the functional inequalities ∥f((x+y+z)/4)+f((...
AbstractA function f:Vn→W, where V is a commutative semigroup, W is a linear space and n⩾1 is an int...
AbstractA stability theorem is proved for the monomial functional equation where the functions map a...
Abstract. In this paper, we prove the generalized Hyers–Ulam stability of the following additive-qua...
Using direct method, Kenary (Acta Universitatis Apulensis, to appear) proved the Hyers-Ulam stabilit...
Abstract. We establish a new method to prove Hyers-Ulam-Rassias stability of the quartic functional ...
In this paper, we prove the stability of Euler-Lagrange quadratic map-pings in the framework of non-...
AbstractIn this paper, we prove the Hyers–Ulam–Rassias stability of the mixed type cubic–quartic fun...
We study the stability of the functional equation ∆nxf(y) = n!f(x) in non-Archimedean spaces in the...
In this paper, we investigate the stability in the sense of Hyers-Ulam for aclass of the following t...
AbstractIn this work, we prove the generalized Hyers–Ulam stability of the following functional ineq...
AbstractLee et al. considered the following quadratic functional equation f(lx+y)+f(lx−y)=2l2f(x)+2f...
The Hyers-Ulam stability of a quintic functional equation in the normed spaces and non-Archimedean ...
Abstract. We give a xed point approach to the generalized Hyers-Ulam stability of the cubic equation...
In this paper, we solve the additive functional inequality and the quadratic functional inequality i...
We investigate the generalized Hyers-Ulam stability of the functional inequalities ∥f((x+y+z)/4)+f((...
AbstractA function f:Vn→W, where V is a commutative semigroup, W is a linear space and n⩾1 is an int...
AbstractA stability theorem is proved for the monomial functional equation where the functions map a...
Abstract. In this paper, we prove the generalized Hyers–Ulam stability of the following additive-qua...
Using direct method, Kenary (Acta Universitatis Apulensis, to appear) proved the Hyers-Ulam stabilit...
Abstract. We establish a new method to prove Hyers-Ulam-Rassias stability of the quartic functional ...
In this paper, we prove the stability of Euler-Lagrange quadratic map-pings in the framework of non-...