This paper is devoted to the study of the metric projection onto a nonempty closed convex subset of a general Banach space. Thanks to a systematic use of semi-inner products and duality mappings, characterizations of the metric projection are given. Applications to decompositions of Banach spaces along convex cones and variational inequalities are presented.
Publié le : 1998-05-14
Classification:
Metric projection,
closed convex subset of a Banach space,
semi-inner products,
duality mappings,
convex cones,
90C48
@article{1049832682,
author = {Penot, Jean-Paul and Ratsimahalo, Robert},
title = {Characterizations of metric projections in Banach spaces and applications},
journal = {Abstr. Appl. Anal.},
volume = {3},
number = {1-2},
year = {1998},
pages = { 85-103},
language = {en},
url = {http://dml.mathdoc.fr/item/1049832682}
}
Penot, Jean-Paul; Ratsimahalo, Robert. Characterizations of metric projections in Banach spaces and applications. Abstr. Appl. Anal., Tome 3 (1998) no. 1-2, pp. 85-103. http://gdmltest.u-ga.fr/item/1049832682/