We present a brief survey on two classes of single-valued and multivalued maps: the paramonotone maps and the pseudomonotone* maps. The former concept was introduced for the rst time in [5], the latter in [7] and it was slightly modied in [10]. These two concepts permit to characterize in a stronger way convex and pseudoconvex functions. Moreover pseudomonotone* maps are characterized by the cutting plane property in a sense. Lastly we present a possible extension of the notion of pseudomonotone* maps to the equilibrium bifunctions and we show that they have the cutting property.

On paramonotone and pseudomonotone* maps

CASTELLANI, MARCO;GIULI, MASSIMILIANO
2009-01-01

Abstract

We present a brief survey on two classes of single-valued and multivalued maps: the paramonotone maps and the pseudomonotone* maps. The former concept was introduced for the rst time in [5], the latter in [7] and it was slightly modied in [10]. These two concepts permit to characterize in a stronger way convex and pseudoconvex functions. Moreover pseudomonotone* maps are characterized by the cutting plane property in a sense. Lastly we present a possible extension of the notion of pseudomonotone* maps to the equilibrium bifunctions and we show that they have the cutting property.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/24187
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact