In this paper the pseudomonotonicity of the affine map F(x) = Mx+q on the interior of the positive orthant of Rn is studied. A new characterization is suggested involving the positive and the negative polar of the cone generated by the set W*={z=Mx+q: x∈ intRn +}. The obtained results are applied to the two dimensional case in order to achieve a complete characterization of pseudomonotonicity in terms of the coefficients of M and q.

Pseudomonotonicity of an affine map and the two dimensional case

MARCHI, ANNA;MARTEIN, LAURA
2008

Abstract

In this paper the pseudomonotonicity of the affine map F(x) = Mx+q on the interior of the positive orthant of Rn is studied. A new characterization is suggested involving the positive and the negative polar of the cone generated by the set W*={z=Mx+q: x∈ intRn +}. The obtained results are applied to the two dimensional case in order to achieve a complete characterization of pseudomonotonicity in terms of the coefficients of M and q.
Marchi, Anna; Martein, Laura
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: http://hdl.handle.net/11568/203678
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact