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

Janosch Rieger; Tobias Weth

doi:10.1137/151002447

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

Janosch Rieger, Tobias Weth

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

Abstract

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 language	English
Pages (from-to)	227-246
Number of pages	20
Journal	SIAM Journal on Optimization
Volume	26
Issue number	1
DOIs	https://doi.org/10.1137/151002447
Publication status	Published - 20 Jan 2016
Externally published	Yes

Keywords

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

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10.1137/151002447

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abstract = "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.",

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KW - Root-finding method

KW - Set-valued analysis

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

Abstract

Keywords

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