configuration 发表于 2025-4-1 02:39:08

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 发表于 2025-4-1 07:08:54

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achlorhydria 发表于 2025-4-1 11:36:06

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 发表于 2025-4-1 17:26:06

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 发表于 2025-4-1 19:28:38

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墙壁 发表于 2025-4-2 02:19:58

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Virtues 发表于 2025-4-2 06:33:33

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 发表于 2025-4-2 09:09:59

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