Well-Posed Solvability of Convex Optimization Problems on a Differentiable or Continuous Closed Convex Set

DOI10.1137/19M1251989zbMath1433.49039OpenAlexW3004477289MaRDI QIDQ5215522

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Publication date: 12 February 2020

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1251989

zbMATH Keywords

conjugate functionwell-posed solvabilitycontinuity of a closed convex set

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Linear programming (90C05)

Related Items (2)

Convex Optimization Problems on Differentiable Sets ⋮ Corrigendum: Convex Optimization Problems on Differentiable Sets

Cites Work

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• Well-positioned closed convex sets and well-positioned closed convex functions
• Stable well-posedness and tilt stability with respect to admissible functions
• Generalized Levitin--Polyak Well-Posedness in Constrained Optimization
• Level Sets and Continuity of Conjugate Convex Functions
• Convex Analysis
• Continuous Convex Sets.
• Convex analysis and monotone operator theory in Hilbert spaces

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