Extensions of Lipschitz selections and an application to differential inclusions

DOI10.1016/0362-546X(91)90176-2zbMath0723.34007MaRDI QIDQ3211631

Zvi Artstein

Publication date: 1991

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

differential inclusionsLipschitz continuityLipschitz extensionsLipschitz selections

Mathematics Subject Classification ID

Set-valued functions (26E25) Selections in general topology (54C65) Ordinary differential inclusions (34A60)

Related Items

Barycentric selectors and a Steiner-type point of a convex body in a Banach space, First-order approximations for differential inclusions, Algebraic and topological structure of some spaces of set-valued maps, Regularity and integration of set-valued maps represented by generalized Steiner points, Vector-valued interval functions and the Dedekind completion of \(C(X,E)\), Locating Theorems of Differential Inclusions Governed by Maximally Monotone Operators, Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators, Invariant closed sets with respect to differential inclusions with time-dependent maximal monotone operators, The set of Hausdorff continuous functions -- the largest linear space of interval functions, On the core of a low dimensional set-valued mapping, Lipschitz selections of set-valued mappings and Helly's theorem, The Steiner point in infinite dimensions

Cites Work

• The Steiner point in infinite dimensions
• A maximum principle for differential inclusion problems with state constraints
• A maximum principle for generalized control systems
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