Localized solvability of relaxed one-sided Lipschitz inclusions in Hilbert spaces

Janosch Rieger, Tobias Weth

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1 Citation (Scopus)


We prove solvability theorems for relaxed one-sided Lipschitz multivalued mappings in Hilbert spaces and for composed mappings in the Gelfand triple setting. From these theorems, we deduce properties of the inverses of such mappings and convergence properties of a numerical scheme for the solution of algebraic inclusions.

Original languageEnglish
Pages (from-to)227-246
Number of pages20
JournalSIAM Journal on Optimization
Issue number1
Publication statusPublished - 20 Jan 2016
Externally publishedYes


  • Algebraic inclusion
  • Relaxed one-sided Lipschitz property
  • Root-finding method
  • Set-valued analysis

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