Representations of starshaped sets in normed linear spaces

DOI10.1006/jfan.2000.3578zbMath0967.52002OpenAlexW1992898883MaRDI QIDQ1577661

N. Delaunay

Publication date: 28 August 2001

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

Full work available at URL: https://doi.org/10.1006/jfan.2000.3578

zbMATH Keywords

kernelregular pointstarshaped setintersection formulaelocal nonconvexity pointspherical point

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (3)

A characterization for compact sets in the space of fuzzy star-shaped numbers with \(L_p\) metric ⋮ Starshaped sets ⋮ On starshaped fuzzy sets

Cites Work

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• Sets which are almost starshaped
• Infinite-dimensional Krasnosel'skii-type criteria for cones
• An optimal Krasnosel'skii-type theorem for an open starshaped set
• On the variational principle
• Solution of the problem of combinatorial characterization of the dimension of the kernel of a starshaped set
• Proximal Analysis and Boundaries of Closed Sets in Banach Space, Part I: Theory
• Proximal Analysis and Boundaries of Closed Sets in Banach Space. Part II: Applications
• Existence Of Nearest Points In Banach Spaces
• Nonconvex minimization problems
• Some applications of a subdifferential calculus for non-convex functions on Asplund spaces
• Tangential approximations
• An Optimal Krasnosel'skii-Type Theorem for the Dimension of the Kernel of a Starshaped Set

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