Abstract: We introduce here the notion of the G-pseudo
orbit tracing property on a metric G-space
X, study various examples and properties of such maps and obtain a
characterization for the identity map to possess G-POTP. If X is compact
such that the orbit map is a covering map, then we show
that a pseudoequivariant map has G-POTP
if and only if the induced map has POTP.
Keywords and phrases: G-spaces, pseudo orbit tracing property.