Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623573 | Journal of Mathematical Analysis and Applications | 2006 | 5 Pages |
Abstract
We show that the fixed point set of a quasi-nonexpansive selfmap of a nonempty convex subset of a CAT(0) space is always closed, convex and contractible. Moreover, we give a construction of a continuous selfmap of a CAT(0) space whose fixed point set is prescribed.
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