Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2015.55.1.219
Title & Authors
Hyperspaces and the S-equivariant Complete Invariance Property Maury, Saurabh Chandra;
In this paper it is investigated as to when a nonempty invariant closed subset A of a -space X containing the set of stationary points (S) can be the fixed point set of an equivariant continuous selfmap on X and such space X is said to possess the S-equivariant complete invariance property (S-ECIP). It is also shown that if X is a metric space and acts on by the action , where p, and , then the hyperspace of all nonempty compact subsets of has the S-ECIP.