Fixed-point set of a quasi-nonexpansive map on a cat(0) space
Aniruth Phon-On, Phichet Chaoha · 2004
Let (X, [rho]) be a CAT(0) space and f : X [vector] X a continuous quasi-nonexpansive map. In this thesis, we show that the fixed point set of f is [rho]-convex and contractible. As a consequence, if the fixed point set of f is nonempty, it is either a singleton or an infinite