On the covering dimension of the fixed point set of certain multifunctions
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 281-286
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We study the covering dimension of the fixed point set of lower semicontinuous multifunctions of which many values can be non-closed or non-convex. An application to variational inequalities is presented.
Classification :
47H04, 47H10, 47H19, 49A29, 49J40
Keywords: multifunction; fixed point; covering dimension; variational inequality
Keywords: multifunction; fixed point; covering dimension; variational inequality
@article{CMUC_1991__32_2_a9,
author = {Ricceri, Ornella Naselli},
title = {On the covering dimension of the fixed point set of certain multifunctions},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {281--286},
publisher = {mathdoc},
volume = {32},
number = {2},
year = {1991},
mrnumber = {1137789},
zbl = {0753.47034},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a9/}
}
TY - JOUR AU - Ricceri, Ornella Naselli TI - On the covering dimension of the fixed point set of certain multifunctions JO - Commentationes Mathematicae Universitatis Carolinae PY - 1991 SP - 281 EP - 286 VL - 32 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a9/ LA - en ID - CMUC_1991__32_2_a9 ER -
%0 Journal Article %A Ricceri, Ornella Naselli %T On the covering dimension of the fixed point set of certain multifunctions %J Commentationes Mathematicae Universitatis Carolinae %D 1991 %P 281-286 %V 32 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a9/ %G en %F CMUC_1991__32_2_a9
Ricceri, Ornella Naselli. On the covering dimension of the fixed point set of certain multifunctions. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 281-286. http://geodesic.mathdoc.fr/item/CMUC_1991__32_2_a9/