Barycentric selectors and a Steiner-type point of a convex body in a Banach space

DOI10.1016/S0022-1236(03)00211-8zbMath1065.47046MaRDI QIDQ1876261

Yanyan Li

Publication date: 16 August 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

set-valued mappingbarycenterSteiner pointHelly-type theoremsLipschitz selection

Mathematics Subject Classification ID

Set-valued operators (47H04) Selections in general topology (54C65) Geometry and structure of normed linear spaces (46B20) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items

Sections of convex bodies and splitting problem for selections ⋮ Sharp finiteness principles for Lipschitz selections ⋮ Finiteness principles for smooth selection ⋮ Smooth selection for infinite sets ⋮ Lipschitz selectors may not yield competitive algorithms for convex body chasing ⋮ Iterative learning based consensus control for distributed parameter type multi‐agent differential inclusion systems ⋮ Aggregation of experts' opinions and conditional consensus opinion by the Steiner point ⋮ Convergence analysis for iterative learning control of fractional-order nonlinear differential inclusion system ⋮ \(C^2\) interpolation with range restriction ⋮ Sobolev \(L_p^2\)-functions on closed subsets of \(\mathbb R^2\) ⋮ The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces ⋮ Representations of affine multifunctions by affine selections ⋮ Iterative learning control for differential inclusions of parabolic type with noninstantaneous impulses ⋮ PROPERTIES OF TWO SELECTIONS IN METRIC SPACES OF NONPOSITIVE CURVATURE ⋮ On Lipschitz retraction of finite subsets of normed spaces ⋮ On the core of a low dimensional set-valued mapping ⋮ Iterative learning based consensus control for distributed parameter type multi-agent differential inclusion systems with time-delay

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