Weak uniform normal structure in direct sum spaces
The weak normal structure coefficient WCS(X) is computed or bounded when X is a finite or infinite direct sum of reflexive Banach spaces with a monotone norm.
Geometric properties of Banach spaces and metric fixed point theory.
Continuous dependence for implicit differential equations in Banach spaces.
Some geometric properties concerning fixed point theory.
The Fixed Point Theory for nonexpansive mappings is strongly based upon the geometry of the ambient Banach space. In section 1 we state the role which is played by the multidimensional convexity and smoothness in this theory. In section 2 we study the computation of the normal structure coefficient in finite dimensional lp-spaces and its connection with several classic geometric problems.
Aplicaciones de las categorías de Baire a la existencia de solución de una ecuación diferencial en un espacio de Banach.
Non-expansive mappings in spaces of continuous functions.
Connections between some measures of non-compactness and associated operators.
Some relationships between the Kuratowski's measure of noncompactness, the ball measure of noncompactness and the δ-separation of the points of a set are studied in special classes of Banach spaces. These relations are applied to compare operators which are contractive for these measures.
The -fixed point property for nonexpansive mappings.
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