A convex-valued selection theorem with a non-separable Banach space

DOI10.1515/ANONA-2016-0053zbMath1400.54032OpenAlexW2474759522MaRDI QIDQ1748285

Pascal Gourdel, Nadia Maagli

Publication date: 9 May 2018

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2016-0053

zbMATH Keywords

multifunctionlower semicontinuitycontinuous selectionpeelingnonseparable Banach spaceMichael's selection theoremrelative interior of convex set

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued maps in general topology (54C60) Selections in general topology (54C65) Nonseparable Banach spaces (46B26)

Cites Work

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• Continuous selections. I
• Continuous selections. II
• Continuous selections. III
• Ernest Michael and theory of continuous selections
• Selections, paraconvexity and PF-normality
• Approximation of set valued functions and fixed point theorems
• Continuous selections of multivalued mappings
• Finite dimensional convexity and optimization

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