Now showing items 1-6 of 6
The τ-fixed point property for nonexpansive mappings [Article]
Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point property (τ-FPP) if every nonexpansive mapping T defined from a bounded convex τ-sequentially compact subset C of X into C has a fixed ...
Estabilidad de la propiedad del punto fijo para aplicaciones no-expansivas [Doctoral Thesis]
La teoría métrica del punto fijo estudia la existencia de dichos puntos para aplicaciones definidas en un espacio métrico y bajo condiciones que no son invariantes al pasar a métricas equivalentes. En este aspecto, el ...
Non-expansive mappings in spaces of continuous functions [Article]
(Universidad de Extremadura, 2004)
Fixed points of nonexpansive mappings in spaces of continuous functions [Article]
(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 ...
Weak compactness and fixed point property for affine mappings [Article]
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 ...
Komlós' Theorem and the Fixed Point Property for affine mappings [Article]
(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 ...