Some geometric properties concerning fixed point theory.

Domínguez Benavides, Tomás. "Some geometric properties concerning fixed point theory.." Revista Matemática de la Universidad Complutense de Madrid 9.Extr. (1996): 109-124. <http://eudml.org/doc/44221>.

@article{DomínguezBenavides1996,
abstract = {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.},
author = {Domínguez Benavides, Tomás},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Espacios de Banach; Geometría de subespacios; Teorema de punto fijo; Aplicación contractiva; Convexidad; Operador no lineal; Hipersuperficie lisa; fixed point theory; nonexpansive maps; geometry of Banach spaces; multidimensional convexity; smoothness properties; normal structure; finite-dimensional -spaces},
language = {eng},
number = {Extr.},
pages = {109-124},
title = {Some geometric properties concerning fixed point theory.},
url = {http://eudml.org/doc/44221},
volume = {9},
year = {1996},
}

TY - JOUR
AU - Domínguez Benavides, Tomás
TI - Some geometric properties concerning fixed point theory.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1996
VL - 9
IS - Extr.
SP - 109
EP - 124
AB - 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.
LA - eng
KW - Espacios de Banach; Geometría de subespacios; Teorema de punto fijo; Aplicación contractiva; Convexidad; Operador no lineal; Hipersuperficie lisa; fixed point theory; nonexpansive maps; geometry of Banach spaces; multidimensional convexity; smoothness properties; normal structure; finite-dimensional -spaces
UR - http://eudml.org/doc/44221
ER -