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Artículo
A geometrical coefficient implying the fixed point property and stability results
(University of Houston, 1996)
In this paper we define a new geometric constant M(X) in Banach spaces such that X has the fixed point property for nonexpansive mappings if M(X) > 1. We prove that M(X) •_ WCS(X), the inequality being strict in many ...
Artículo
Qualitative and quantitative properties for the space ℓp,q
(University of Houston, 1996)
The space lp,q is simply the space lp but renormed by 1 Ixlp,q =(11x+llg + IIx-IIg);, ß E where II'[Ip is the usual lp norm and x + and x- are the positive and negative. parts of x, respectively. Bynum used lp,1 and Smith ...
Artículo
Some geometric properties concerning fixed point theory
(Universidad Complutense de Madrid, 1996)
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 ...