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
http://reply.papertrans.cn/67/6674/667316/667316_62.pngachlorhydria 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 .-valenCubicle 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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http://reply.papertrans.cn/67/6674/667316/667316_66.pngVirtues 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 originatedConstrain 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