Location of Repository

GRAPHICAL CONVERGENCE OF SUMS OF MONOTONE MAPPINGS

By T. Pennanen, R. T. Rockafellar, M. Th Éra and Communicated Jonathan M. Borwein

Abstract

Abstract. This paper gives sufficient conditions for graphical convergence of sums of maximal monotone mappings. The main result concerns finitedimensional spaces and it generalizes known convergence results for sums. The proof is based on a duality argument and a new boundedness result for sequences of monotone mappings which is of interest on its own. An application to the epi-convergence theory of convex functions is given. Counterexamples are used to show that the results cannot be directly extended to infinite dimensions. 1

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.161.6830
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.ams.org/proc/2002-1... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.