Derivative for Functions $f : G \to H$, Where $G$ Is a Metric Divisible Group

Hector Andres Granada Diaz; Simeon Casanova Trujillo; Fredy E. Hoyos

doi:10.3390/math10193559

paper

Derivative for Functions $f : G \to H$ , Where $G$ Is a Metric Divisible Group

arXiv:2601.06130 · doi:10.3390/math10193559

Abstract

In this paper, a derivative for functions $f : G \to H$ , where $G$ is any metric divisible group and $H$ is a metric Abelian group with a group metric, is defined. Basic differentiation theorems are stated and demonstrated. In particular, we obtain the Chain Rule

10 pages,no figures,published paper

Derivative for Functions f:G→H, Where G Is a Metric Divisible Group

Abstract

Derivative for Functions $f : G \to H$ , Where $G$ Is a Metric Divisible Group