Directional Hölder metric regularity

DOI10.1007/s10957-015-0797-6zbMath1354.49033arXiv1508.01930OpenAlexW1903266106WikidataQ57580459 ScholiaQ57580459MaRDI QIDQ504797

Michel Théra, Huynh Van Ngai, Nguyen Huu Tron

Publication date: 17 January 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01930

zbMATH Keywords

Ekeland variational principlemetric regularityAsplund spacesgeneralized equationFréchet subdifferentialslopeHadamard directional differentiabilityHölder metric regularity

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Set-valued operators (47H04) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (10)

Strict efficiency conditions for nonsmooth optimization with inclusion constraint under Hölder directional metric subregularity ⋮ Directional metric pseudo subregularity of set-valued mappings: a general model ⋮ Nonlinear metric regularity on fixed sets ⋮ New set-valued directional derivatives: calculus and optimality conditions ⋮ Error bounds and Hölder metric subregularity ⋮ Nonlinear metric subregularity ⋮ Hölder error bounds and Hölder calmness with applications to convex semi-infinite optimization ⋮ Unnamed Item ⋮ Karush-Kuhn-Tucker multiplier rules for efficient solutions of set-valued equilibrium problem with constraints ⋮ Metric regularity relative to a cone

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