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Artículo
The τ-fixed point property for left reversible semigroups
(Springer Open, 2015-12)
In this article we use the generalized Gossez-Lami Dozo property and the Opial condition to study the fixed point property for left reversible semigroups in separable Banach spaces. As a consequence, some previous results ...
Artículo
Density of the set of renormings in c0 without asymptotically isometric copies of c0 and failing to have the fixed point property
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2013)
It is proved that the family of all equivalent norms in c0 without asymptotically isometric copies of c0 and failing to have the fixed point property is dense in the set of all renormings of c0.
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
The fixed-point property in Banach spaces containing a copy of c0
(Hindawi, 2003)
We prove that every Banach space containing an isomorphic copy of c0 fails to have the fixed-point property for asymptotically nonexpansive mappings with respect to some locally convex topology which is coarser than the ...
Artículo
Komlós' Theorem and the Fixed Point Property for affine mappings
(American Mathematical Society, 2018-12)
Assume that X is a Banach space of measurable functions for which Koml´os’ Theorem holds. We associate to any closed convex bounded subset C of X a coefficient t(C) which attains its minimum value when C is closed for the ...
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 ...