On cyclic and n-cyclic monotonicity of bifunctions

Monica Bianchi, M. H. Alizadeh, N. Hadjisavvas, R. Pini

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

4 Citazioni (Scopus)

Abstract

In the recent literature, the connection between maximal monotone operators and the Fitzpatrick function is investigated. Subsequently, this relation has been extended to maximal monotone bifunctions and their Fitzpatrick transform. In this paper we generalize some of these results to maximal n-cyclically monotone and maximal cyclically monotone bifunctions, by introducing and studying the Fitzpatrick transforms of order n or infinite order for bifunctions.
Lingua originaleEnglish
pagine (da-a)599-616
Numero di pagine18
RivistaJournal of Global Optimization
Volume2014
DOI
Stato di pubblicazionePubblicato - 2014

Keywords

  • Fitzpatrick function
  • Maximal monotone operator
  • Monotone bifunction
  • n-Cyclic monotonicity

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