Open AccessLocalized Solvability of Relaxed One-Sided Lipschitz Inclusions in Hilbert Spaces
Author(s) -
Janosch Rieger,
Tobias Weth
Publication year - 2016
Publication title -
siam journal on optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.066
H-Index - 136
eISSN - 1095-7189
pISSN - 1052-6234
DOI - 10.1137/151002447
Subject(s) - mathematics , lipschitz continuity , hilbert space , scheme (mathematics) , pure mathematics , algebraic number , convergence (economics) , mathematical analysis , economics , economic growth
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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