Criterion for the existence of a 1-Lipschitz selection from the metric projection onto the set of continuous selections from a multivalued mapping

DOI10.1007/S10958-020-05025-3zbMath1452.54011OpenAlexW3087442180MaRDI QIDQ2203274

Yanyan Li

Publication date: 5 October 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-05025-3

zbMATH Keywords

continuous selectionmetric projectionmultivalued mapMichael's theorem

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Selections in general topology (54C65)

Related Items (1)

Existence, uniqueness, and stability of best and near-best approximations

Cites Work

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• Continuous selections. I
• The continuity of metric projections as functions of the data
• On the modules of continuity of an operator of best approximation
• Continuous dependence of an element realizing the minimum of a convex functional on the set of admissible elements
• Approximation properties of certain sets in the space of continuous functions
• Stability estimates of continuous selections for metric almost-projections
• Connectedness and solarity in problems of best and near-best approximation
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Closed spans in vector-valued function spaces and their approximative properties

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