Unique Minimizers and the Representation of Convex Envelopes in Locally Convex Vector Spaces

zbMath1497.46083arXiv2108.05619MaRDI QIDQ5091988

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Publication date: 27 July 2022

Full work available at URL: https://arxiv.org/abs/2108.05619

zbMATH Keywords

subdifferentialconvex hullconvex envelopeuniqueness of minimizerlocally convex Hausdorff spacebiconjugate(essentially) strictly convex function

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Duality theory (optimization) (49N15) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

• A characterization of essentially strictly convex functions on reflexive Banach spaces
• Convex functions, monotone operators and differentiability.
• ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
• Weak Convergence of Measures
• On the Subdifferentiability of Convex Functions
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