Limit vector variational inequality problems via scalarization

Monica Bianchi, Rita Pini, I. V. Konnov, R. Pini

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

1 Citazioni (Scopus)

Abstract

We solve a general vector variational inequality problem in a finite—dimensional setting, where only approximation sequences are known instead of exact values of the cost mapping and feasible set. We establish a new equivalence property, which enables us to replace each vector variational inequality with a scalar set-valued variational inequality. Then, we approximate the scalar set-valued variational inequality with a sequence of penalized problems, and we study the convergence of their solutions to solutions of the original one.
Lingua originaleEnglish
pagine (da-a)579-590
Numero di pagine12
RivistaJournal of Global Optimization
Volume72
DOI
Stato di pubblicazionePubblicato - 2018

Keywords

  • Approximation sequence ·
  • Coercivity conditions
  • Penalty method
  • Vector variational inequality

Fingerprint Entra nei temi di ricerca di 'Limit vector variational inequality problems via scalarization'. Insieme formano una fingerprint unica.

Cita questo