# Hyperspaces and the S-equivariant Complete Invariance Property

@article{Maury2015HyperspacesAT, title={Hyperspaces and the S-equivariant Complete Invariance Property}, author={S. C. Maury}, journal={Kyungpook Mathematical Journal}, year={2015}, volume={55}, pages={219-224} }

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.

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