Full paper in PDF:
$%T. Domínguez Benavides, Some geometric properties concerning Fixed Point Theory, Rev. Mat. Univ. Complut. Madrid 9 (1996), supplementary, 109–124.%$

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 -spaces and its connection with several classic geometric problems.

1991 Mathematics Subject Classification: 46B20, 47H10.