On a perturbation approach to open mapping theorems

DOI10.1080/10556780903151524zbMath1191.49016OpenAlexW2080890009WikidataQ115005288 ScholiaQ115005288MaRDI QIDQ3562390

Amos Uderzo

Publication date: 21 May 2010

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556780903151524

zbMATH Keywords

metric regularityopen coveringLyusternik-Graves theoremBanach constantBanach lemmastrict \(\gamma \)-approximation

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

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On the cardinality of the coincidence set for mappings of metric, normed and partially ordered spaces ⋮ On some regularity properties in variational analysis

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