Titlebook: Nonlinear Analysis; Stability, Approxima Panos M. Pardalos,Pando G. Georgiev,Hari M. Srivas Book 2012 Springer Science+Business Media, LLC

configuration

Some Remarks on the Group of Isometries of a Metric Space,n result contained in Theorem 4.1 and Theorem 4.2 is that in case .≠2 all these groups are isomorphic and, consequently, they are independent of .. In the last section, the isometry dimension of a finite group with respect to a given metric on the space ℝ. is introduced.

Neuralgia

achlorhydria

Generalized ,-Valent Janowski Close-to-Convex Functions and Their Applications to the Harmonic Mapp.), if .(.) satisfies the condition ., then .(.) is a called generalized .-valent Janowski convex function, where .,. are arbitrary fixed real numbers such that −1≤.<.≤1, and .(.)=...(.) with .(.) being analytic in . and satisfying the condition |.(.)|<1 for every .. The class of generalized .-valen

Cubicle

Remarks on Stability of the Linear Functional Equation in Single Variable,ng a nonempty set . into a Banach space . over a field ., where . is a fixed positive integer and the functions .:.→., .:.→. and ., .=1,…,., are given. Those observations complement the results in our earlier paper (Brzdȩk et al. in J. Math. Anal. Appl. 373:680–689, .).

PON

墙壁

Virtues

Fixed Point Approach to the Stability of the Quadratic Functional Equation,ace .. into a complete .-normed space .., where .:..⟶.. is an involution and . is a fixed positive integer larger than 2. Furthermore, we investigate the Hyers–Ulam–Rassias stability for the functional equation in question on restricted domains..The concept of Hyers–Ulam–Rassias stability originated

Constrain

,Hyers–Ulam–Rassias Stability of Orthogonal Additive Mappings,ity originated from Th.M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Am. Math. Soc. 72:297–300, .. Our results generalize and simplify the result of R. Ger and J. Sikorska (Bull. Pol. Acad. Sci., Math. 43(2):143–151, .). See