On the Complete Invariance Property in Some Uncountable Products
On the Complete Invariance Property in Some Uncountable Products
Abstract We consider uncountable products of nontrivial compact, convex subsets of normed linear spaces. We show that these products do not have the complete invariance property i.e. they include a nonempty, closed subset which is not a fixed point set (i.e. the set of all fixed points) for any continuous …