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A strong convergence theorem for resolvents of monotone operators

  • Dan Butnariu
  • , Simeon Reich
  • , Shoham Sabach

Research output: Contribution to journalArticlepeer-review

Abstract

We prove a strong convergence theorem for resolvents of monotone operators in Banach spaces. These resolvents are associated with totally convex Legendre functions.

Original languageEnglish
Pages (from-to)991-1006
Number of pages16
JournalJournal of Convex Analysis
Volume17
Issue number3-4
StatePublished - 2010

Keywords

  • Banach space
  • Bregman projection
  • Legendre function
  • Monotone operator
  • Resolvent
  • Totally convex function

ASJC Scopus subject areas

  • Analysis
  • General Mathematics

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