In this paper, we introduce the concept of hyper homomorphisms and hyper derivations in
Banach algebras and we establish the stability of hyper homomorphisms and hyper …

In this paper, we obtain the general solution and the Hyers-Ulam stability of the system of
biadditive functional equations {2 f (x+ y, z+ w)− g (x, z)− g (x, w)= g (y, z)+ g (y, w) g (x+ y, z+ …

In this article, we solve the system of additive functional equations: 2 f (x+ y)− g (x)= g (y), g
(x+ y)− 2 f (y− x)= 4 f (x) and prove the Hyers-Ulam stability of the system of additive …

The stability theory of functional equations started from a problem of Ulam [16], concerning
the stability of group homomorphisms. Hyers [7] answered Ulam's question on Banach …

This article aims to examine the existence and Hyers-Ulam stability of non-local random
impulsive neutral stochastic integrodifferential delayed equations with Poisson jumps …

A Pexider system of additive functional equations in Banach algebras | Journal of Inequalities
and Applications Skip to main content SpringerLink Account Menu Find a journal Publish with …

Our main goal in this paper is to investigate stochastic ternary antiderivatives (STAD). First,
we will introduce the random ternary antiderivative operator. Then, by introducing the …

Using the Brzdek fixed point theorem, we establish the Hyers? Ulam stability problem of
Drygas functional equations\begin {equation}\delta (x+ yz)+\delta (xy)+\delta (-yz)+\delta …

Using the Brzdȩk fixed point theorem, we establish the Hyers–Ulam stability of the following
generalized Drygas functional equation F ( x + σ ( y ) ) + F ( x + τ ( y ) ) = 2 F ( x ) + F ( σ ( y ) ) …

In this paper, we consider two functional equations: h (F (x, y, z)+ 2x+ y+ z)+ h (xy+ z)+ yh
(x)+ yh (z)= h (F (x, y, z)+ 2x+ y)+ h (xy)+ yh (x+ z)+ 2h (z),(1) h (F (x, y, z)− y+ z+ 2e)+ 2h (x+ …