Implicit function theorem in topological spaces

DOI10.1080/00036818208839391zbMath0451.54016OpenAlexW1970786961WikidataQ58287577 ScholiaQ58287577MaRDI QIDQ3897689

Shui-Hung Hou

Publication date: 1982

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818208839391

zbMATH Keywords

measurable selectionseparation propertiesapplicable to optimal control problemsBanach space versionFilippov type implicit functions theorem for Caratheodory mappingsmeasurability of graphs of multifunctions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60)

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Cites Work

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• On the extension of von Neumann-Aumann's theorem
• Measurable multifunctions, selectors, and Filippov's implicit functions lemma
• Survey of Measurable Selection Theorems
• Existence theorems of optimal control problems in Banach spaces
• Nonlinear accretive operators in Banach spaces
• Remarks on Some Recent Extensions of Filippov’s Implicit Functions Lemma