Continuous Selections in α-Convex Metric Spaces

• Autorzy: F. S. De Blasi , G. Pianigiani
• 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.

Kategorie tematyczne

• 54C60: Set-valued maps
• 54C65: Selections

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 3
• Strony: 303-317

Daty

wydano

2004

Twórcy

autor

F. S. De Blasi

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

autor

G. Pianigiani

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

Identyfikatory

DOI

10.4064/ba52-3-10