Geodesic
Continuous Selections in ${\alpha }$-Convex Metric Spaces
F. S. De Blasi1 ; G. Pianigiani2
1Centro Vito Volterra Dipartimento di Matematica Università di Roma II (Tor Vergata) Via della Ricerca Scientifica 00133 Roma, Italy
2Dipartimento di Matematica per le Decisioni Università di Firenze Via Lombroso, 6/17 50134 Firenze, Italy
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 3, pp. 303-317
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

The existence of continuous selections is proved for a class of lower semicontinuous multifunctions whose values are closed convex subsets of a complete metric space equipped with an appropriate notion of convexity. The approach is based on the notion of pseudo-barycenter of an ordered $n$-tuple of points.
DOI : 10.4064/ba52-3-10
Keywords: existence continuous selections proved class lower semicontinuous multifunctions whose values closed convex subsets complete metric space equipped appropriate notion convexity approach based notion pseudo barycenter ordered n tuple points

F. S. De Blasi  1   ; G. Pianigiani  2

1 Centro Vito Volterra Dipartimento di Matematica Università di Roma II (Tor Vergata) Via della Ricerca Scientifica 00133 Roma, Italy
2 Dipartimento di Matematica per le Decisioni Università di Firenze Via Lombroso, 6/17 50134 Firenze, Italy 
@article{10_4064_ba52_3_10,
     author = {F. S. De Blasi and G. Pianigiani},
     title = {Continuous {Selections} in ${\alpha }${-Convex} {Metric} {Spaces}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {303--317},
     year = {2004},
     volume = {52},
     number = {3},
     doi = {10.4064/ba52-3-10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba52-3-10/}
}
TY  - JOUR
AU  - F. S. De Blasi
AU  - G. Pianigiani
TI  - Continuous Selections in ${\alpha }$-Convex Metric Spaces
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2004
SP  - 303
EP  - 317
VL  - 52
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba52-3-10/
DO  - 10.4064/ba52-3-10
LA  - en
ID  - 10_4064_ba52_3_10
ER  - 
%0 Journal Article
%A F. S. De Blasi
%A G. Pianigiani
%T Continuous Selections in ${\alpha }$-Convex Metric Spaces
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2004
%P 303-317
%V 52
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ba52-3-10/
%R 10.4064/ba52-3-10
%G en
%F 10_4064_ba52_3_10
F. S. De Blasi; G. Pianigiani. Continuous Selections in ${\alpha }$-Convex Metric Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 3, pp. 303-317. doi: 10.4064/ba52-3-10

Cité par Sources :