Equilibria and strict equilibria of multivalued maps on noninvariant sets

• Autorzy: Pierre Cardaliaguet , Grzegorz Gabor , Marc Quincampoix
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with existence of equilibrium of a set-valued map in a given compact subset of a finite-dimensional space. Previously known conditions ensuring existence of equilibrium imply that the set is either invariant or viable for the differential inclusion generated by the set-valued map. We obtain some equilibrium existence results with conditions which imply neither invariance nor viability of the given set. The problem of existence of strict equilibria is also discussed.

Kategorie tematyczne

• 47H04: Set-valued operators
• 54C60: Set-valued maps
• 34A60: Differential inclusions
• 54C65: Selections

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 82
• Numer: 1
• Strony: 19-37

Daty

wydano

2003

Twórcy

autor

Pierre Cardaliaguet

• Laboratoire de Mathématiques, Université de Bretagne Occidentale, 6, avenue Victor Le Gorgeu B.P. 809, 29285 Brest Cedex, France

autor

Grzegorz Gabor

• Laboratoire de Mathématiques, Université de Bretagne Occidentale, 6, avenue Victor Le Gorgeu B.P. 809, 29285 Brest Cedex, France
• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Marc Quincampoix

• Laboratoire de Mathématiques, Université de Bretagne Occidentale, 6, avenue Victor Le Gorgeu B.P. 809, 29285 Brest Cedex, France

Identyfikatory

DOI

10.4064/ap82-1-3