On the covering dimension of the fixed point set of certain multifunctions

Ornella Naselli Ricceri

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 2, page 281-286
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Ricceri, Ornella Naselli. "On the covering dimension of the fixed point set of certain multifunctions." Commentationes Mathematicae Universitatis Carolinae 32.2 (1991): 281-286. <http://eudml.org/doc/247280>.

@article{Ricceri1991,
abstract = {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.},
author = {Ricceri, Ornella Naselli},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {multifunction; fixed point; covering dimension; variational inequality; fixed point; lower semicontinuous multifunction; variational inequalities},
language = {eng},
number = {2},
pages = {281-286},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the covering dimension of the fixed point set of certain multifunctions},
url = {http://eudml.org/doc/247280},
volume = {32},
year = {1991},
}

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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 2
SP - 281
EP - 286
AB - 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.
LA - eng
KW - multifunction; fixed point; covering dimension; variational inequality; fixed point; lower semicontinuous multifunction; variational inequalities
UR - http://eudml.org/doc/247280
ER -

References

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  1. Aubin J.-P., Mathematical methods of game and economic theory, North-Holland Publishing Company, 1979. Zbl1152.91005MR0556865
  2. Engelking R., Dimension theory, PWN, 1978. Zbl0401.54029MR0482697
  3. Naselli Ricceri O., 𝒜 -fixed points of multi-valued contractions, J. Math. Anal. Appl. 135 (1988), 406-418. (1988) Zbl0662.54030MR0967219
  4. Ricceri B., Fixed points of lower semicontinuous multifunctions and applications: alternative and minimax theorems, Rend. Accad. Naz. Sci. XL, Mem. Mat. 103 (1985), 331-338. (1985) Zbl0586.47058MR0899257
  5. Saint Raymond J., Points fixes des multiplications à valeurs convexes, C.R. Acad. Sci. Paris, Sér. I, 298 (1984), 71-74. (1984) MR0740940

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