Continuous selections in [alpha]-convex metric spaces

• Autorzy: De Blasi F. S. , Pianigiani G.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

continuous selection; multifunction; convex metric space; pseudo-barycenter

PL

selekcja ciągła; wielofunkcyjność; przestrzeń metryczna wypukła

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: Vol. 52, nr 3
• Strony: 303--317
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

De Blasi F. S.

• Centro Vito Volterra, Dipartimento di Matematica, Università di Roma II (Tor Vergata), Via della Ricerca Scientifica, 00133 Roma, Italy

autor

Pianigiani G.

• Dipartimento di Matematica per le Decisioni, Università di Firenze, Via Lombroso, 6/17, 50134 Firenze, Italy

Bibliografia

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