Title of article :
A note on fixed point sets in CAT(0) spaces
Author/Authors :
P. Chaoha ?، نويسنده , , 1، نويسنده , , A. Phon-on، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2006
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.
© 2005 Elsevier Inc. All rights reserved
Keywords :
Fixed point set , CAT(0) spaces , Nonexpansive maps
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications