Titlebook: Handbook of Functional Equations; Stability Theory Themistocles M. Rassias Book 2014 Springer Science+Business Media, LLC 2014 Cauchy equat

Insatiable

https://doi.org/10.1007/978-3-663-11921-0In this chapter, we prove the Hyers–Ulam stability of an additive-quadratic-cubic-quartic functional equation in matrix paranormed spaces. Moreover, we prove the Hyers–Ulam stability of an additive-quadratic-cubic-quartic functional equation in matrix β-homogeneous .-spaces.

Ingrained

Qualit?ts- und Zuverl?ssigkeitsmanagementLet σ: . be an involution of the normed space . and let ., ., . be nonnegative real numbers, such that .. In this chapter, we investigate the Hyers–Ulam–Rassias stability of the Pexider functional equations. on restricted domains . and .

AORTA

Obloquy

acolyte

語源學(xué)

,Selections of Set-valued Maps Satisfying Some Inclusions and the Hyers–Ulam Stability,We present a survey of several results on selections of some set-valued functions satisfying some inclusions and also on stability of those inclusions. Moreover, we show their consequences concerning stability of the corresponding functional equations.

有組織

,Generalized Ulam–Hyers Stability Results: A Fixed Point Approach,We show that a recent fixed point result in (C?dariu et al., Abstr. Appl. Anal., 2012) can be used to prove some generalized Ulam–Hyers stability theorems for additive Cauchy functional equation as well as for the monomial functional equation in .-normed spaces.

engrave

On the Stability of Drygas Functional Equation on Amenable Semigroups,In this chapter, we will prove the Hyers–Ulam stability of Drygas functional equation.where G is an amenable semigroup, σ is an involution of . and . is approximatively central (i.e., .).

Canopy

A Functional Equation Having Monomials and Its Stability,We use some results about the Fréchet functional equation to consider the following functional equation:. We also apply a fixed point method and homogeneous functions of degree α to investigate some stability results for this functional equation in β-Banach spaces.

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