Limits of maximal monotone operators driven by their representative functions

Yboon García, Marc Lassonde

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In a previous paper, the authors showed that in a reflexive Banach space the lower limit of a sequence of maximal monotone operators is always representable by a convex function. The present paper gives precisions to the latter result by demonstrating the continuity of the representation with respect to the epi-convergence of the representative functions, and the stability of the class of maximal monotone operators with respect to the Mosco-convergence of their representative functions.
Original languageEnglish
Pages (from-to)795-803
Number of pages9
JournalOptimization Letters
Issue number4
StatePublished - 1 Jun 2019

Bibliographical note

Publisher Copyright: © 2018, Springer-Verlag GmbH Germany, part of Springer Nature. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.


  • Convex function
  • Epi-convergence
  • Maximal monotone operator
  • Mosco-convergence
  • Representative function
  • Subdifferential


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