The Rockafellar Conjecture and type (FPV)

Radu Ioan Boţ, Orestes Bueno, Stephen Simons

Research output: Contribution to journalArticle in a journalpeer-review

1 Scopus citations


In this note, using a technique of Verona and Verona, we show that a result announced in “All maximal monotone operators in a Banach space are of type FPV” by A. Eberhard and R. Wenczel, Set-Valued Var. Anal. 22, 597–615, (2014), implies the truth of the Rockafellar conjecture. We then show that there is a gap in the logic of the Eberhard–Wenczel result, which we tried unsuccessfully to close. We also discuss briefly the connection with maximally monotone multifunctions of type (FPV).
Original languageEnglish
Pages (from-to)381-385
Number of pages5
JournalSet-Valued and Variational Analysis
Issue number3
StatePublished - 1 Sep 2016


  • Fenchel conjugate
  • Maximal monotonicity
  • Normal cone
  • Rockafellar’s sum conjecture


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