Continuity properties of selectors and Michael's theorem

DOI10.1307/mmj/1029003885zbMath0703.47041OpenAlexW1985039529MaRDI QIDQ916068

David Yost, Krzysztof Przeslawski

Publication date: 1989

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003885

zbMATH Keywords

Hausdorff metricSteiner pointbest possible Lipschitz constant for given Minkowski spacesconnection between selectors and linear projectionsextension of Lipschitz mappingsLipschitz selectors different from the Steiner selectorMichael's theoremuniformly continuous selectors for general Banach spaces

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Selections in general topology (54C65) Banach spaces of continuous, differentiable or analytic functions (46E15) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (12)

Barycentric selectors and a Steiner-type point of a convex body in a Banach space ⋮ Sections of convex bodies and splitting problem for selections ⋮ Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ Existence of Weak Solutions to Stochastic Evolution Inclusions ⋮ A pointwise Lipschitz selection theorem ⋮ Lipschitz selectors may not yield competitive algorithms for convex body chasing ⋮ Vector Bundles and Gromov–Hausdorff Distance ⋮ Selections of Bounded Variation ⋮ Banach limits: some new thoughts and perspectives ⋮ Lipschitz selections and stability for quasiconvex programs. ⋮ On the core of a low dimensional set-valued mapping ⋮ Lipschitz selections of set-valued mappings and Helly's theorem

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