This book discusses the rapidly developing subject of mathematical analysis that deals
primarily with stability of functional equations in generalized spaces. The fundamental …

Lee et al. considered the following quadratic functional equation and proved the Hyers–
Ulam–Rassias stability of the above functional equation in classical Banach spaces. In this …

The aim of this article is to extend the applications of a fixed point method to provide the
intuitionistic fuzzy versions of Hyers-Ulam stability for the generalized forms of cubic and …

A mapping f: Vn⟶ W, where V is a commutative group, W is a linear space, and n≥ 2 is an
integer, is called multi-quadratic if it is quadratic in each variable. In this paper, we prove the …

Beginning around the year 1980, the topic of approximate homomorphisms and derivations
and their stability theory in the field of functional equations and inequalities was taken up by …

Hyers-Ulam–Rassias stability of Pexiderized Cauchy functional equation in 2-Banach spaces
Page 1 Available online at www.tjnsa.com J. Nonlinear Sci. Appl. 5 (2012), 459–465 Research …

The aim of this paper is first to reformulate the fixed point theorem [4, Theorem 1] in 2-
Banach spaces, after it, we introduce and solve the radical quartic functional equation f (x 4+ …

In this paper, the generalized Hyers-Ulam-Rassias stability problem of radical quadratic and
radical quartic functional equations in quasi-β-Banach spaces and then the stability by using …

In this paper, we prove the generalized Hyers-Ulam stability of the following additive-cubic-
quartic functional equation 1 1 1 f (x+ 2 y)+ 1 1 f (x-2 y)= 4 4 f (x+ y)+ 4 4 f (xy)+ 1 2 f (3 y)-4 8 …

FUNDAMENTAL STABILITIES OF THE NONIC FUNCTIONAL EQUATION IN INTUITIONISTIC
FUZZY NORMED SPACES 1. Introduction In [25], Ulam pro Page 1 Commun. Korean Math …