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.
@article{urn:eudml:doc:44221,
title = {Some geometric properties concerning fixed point theory.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {9},
year = {1996},
pages = {109-124},
zbl = {0884.47034},
mrnumber = {MR1435779},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44221}
}
Domínguez Benavides, Tomás. Some geometric properties concerning fixed point theory.. Revista Matemática de la Universidad Complutense de Madrid, Tome 9 (1996) pp. 109-124. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44221/