Asymptotic Properties of G-Expansive Homeomorphisms on a Metric G-Space

Abstract EN

We define and study the notions of positively and negatively G-asymptotic points for a homeomorphism on a metric G-space.

We obtain necessary and sufficient conditions for two points to be positively/negatively G-asymptotic.

Also, we show that the problem of studying G-expansive homeomorphisms on a bounded subset of a normed linear G-space is equivalent to the problem of studying linear G-expansive homeomorphisms on a bounded subset of another normed linear G-space.