Slice-continuous sets in reflexive Banach spaces: convex constrained optimization and strict convex separation

DOI10.1016/j.jfa.2004.08.004zbMath1071.47050OpenAlexW2040732250WikidataQ57580543 ScholiaQ57580543MaRDI QIDQ557583

Emil Ernst, Michel Théra, Constantin Zalinescu

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.08.004

zbMATH Keywords

constrained optimizationasymptotecontinuous setslice-continuous setstrict convex separationwell-positioned set

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Stability, separation, extension, and related topics for functional equations (39B82) Convex functions and convex programs in convex geometry (52A41) Existence theories for problems in abstract spaces (49J27)

Related Items (6)

Convex Optimization Problems on Differentiable Sets ⋮ Zero duality gap for convex programs: a generalization of the Clark-Duffin theorem ⋮ 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 ⋮ Slice-continuous sets in reflexive Banach spaces: some complements ⋮ Well-Posed Solvability of Convex Optimization Problems on a Differentiable or Continuous Closed Convex Set

Cites Work

• Unnamed Item
• On closed convex sets without boundary rays and asymptotes
• On the Dieudonné theorem in reflexive Banach spaces
• On the closedness of the algebraic difference of closed convex sets.
• Well-positioned closed convex sets and well-positioned closed convex functions
• Convex functions with continuous epigraph or continuous level sets
• Sur la séparation des ensembles convexes
• Integrals which are convex functionals
• Existence Theorems for Generalized Noncoercive Equilibrium Problems: The Quasi-Convex Case
• A geometric description of the inner aperture of a convex set
• Set Convergences. An Attempt of Classification
• STABILITY OF THE SOLUTION SET OF NON-COERCIVE VARIATIONAL INEQUALITIES
• Closedness criteria for the image of a closed set by a inear operator

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