A note on fixed point sets in CAT(0) spaces |
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| Authors: | P Chaoha A Phon-on |
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| Institution: | Department of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand |
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| 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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| Keywords: | Fixed point set CAT(0) spaces Nonexpansive maps |
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