Localized Solvability of Relaxed One-Sided Lipschitz Inclusions in Hilbert Spaces
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Published version
Accepted version
Author(s)
Rieger, J
Weth, T
Type
Journal Article
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.
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.
Date Issued
2016-01-20
Date Acceptance
2015-11-30
Citation
SIAM Journal on Optimization, 2016, 26 (1), pp.227-246
ISSN
1052-6234
Publisher
Society for Industrial and Applied Mathematics
Start Page
227
End Page
246
Journal / Book Title
SIAM Journal on Optimization
Volume
26
Issue
1
Copyright Statement
© 2016, Society for Industrial and Applied Mathematics
Subjects
Operations Research
0102 Applied Mathematics
0103 Numerical And Computational Mathematics
Publication Status
Published