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Artículo
Weak compactness and fixed point property for affine mappings
(Elsevier, 2004-04-01)
It is shown that a closed convex bounded subset of a Banach space is weakly compact if and only if it has the generic fixed point property for continuous affine mappings. The class of continuous affine mappings can be ...
Artículo
Fixed points of nonexpansive mappings in spaces of continuous functions
(American Mathematical Society, 2005)
Let K be a compact metrizable space and C(K) the Banach space of all real continuous functions defined on K with the maximum norm. It is known that C(K) fails to have the weak fixed point property for nonexpansive mappings ...