Linear semi-openness and the Lyusternik theorem

DOI10.1016/j.ejor.2003.08.011zbMath1106.49032OpenAlexW2037110685MaRDI QIDQ1877016

Winfried Schirotzek, Heidrun Pühl

Publication date: 16 August 2004

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2003.08.011

zbMATH Keywords

Set-valued mappingLyusternik theoremContingent conePiecewise linear functionLinear opennessLinear semi-opennessMetric regularityOpenness bound

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Cites Work

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• Metric regularity, tangent sets, and second-order optimality conditions
• Stability and regular points of inequality systems
• Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps
• A nonsmooth variant of the Mangasarian-Fromovitz constraint qualification
• Some mapping theorems
• Open mappings theorems and linearization stability
• Metric regularity, openness and Lipschitzian behavior of multifunctions
• On the Lusternik theorem for nonsmooth operators
• Metric regularity for strongly compactly Lipschitzian mappings
• Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces
• Set-valued analysis

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