Slice-continuous sets in reflexive Banach spaces: some complements

DOI10.1007/s11228-008-0073-0zbMath1234.52003OpenAlexW2068783729WikidataQ57580514 ScholiaQ57580514MaRDI QIDQ931415

Emil Ernst, Michel Théra

Publication date: 25 June 2008

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-008-0073-0

zbMATH Keywords

Constrained optimizationAsymptoteContinuous setSlice-continuous setStrict convex separationWell-positioned set

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Stability, separation, extension, and related topics for functional equations (39B82) Geometry and structure of normed linear spaces (46B20) Convex functions and convex programs in convex geometry (52A41) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (2)

Generalized Courant-Beltrami penalty functions and zero duality gap for conic convex programs ⋮ Attainable separation property and asymptotic hyperplane for a closed convex set in a normed space

Cites Work

• Unnamed Item
• Slice-continuous sets in reflexive Banach spaces: convex constrained optimization and strict convex separation
• A geometric description of the inner aperture of a convex set
• STABILITY OF THE SOLUTION SET OF NON-COERCIVE VARIATIONAL INEQUALITIES
• Asymptotes of Convex Bodies.
• Continuous Convex Sets.
• Asymptotes and Projections of Convex Sets.

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