Metric regularity and subdifferential calculus in Banach spaces

DOI10.1007/BF01033643zbMath0854.49015MaRDI QIDQ1893911

Lionel Thibault, Abderrahim Jourani

Publication date: 5 January 1997

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

zbMATH Keywords

metrical regularitysubdifferential calculuslimiting Fréchet subdifferentials

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued functions (26E25) Existence theories for problems in abstract spaces (49J27) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items

Metric Subregularity of Multifunctions: First and Second Order Infinitesimal Characterizations ⋮ Metric Regularity and Optimality Conditions in Nonsmooth Optimization ⋮ Directional Metric Regularity of Multifunctions ⋮ Implicit multifunction theorems in complete metric spaces ⋮ Tangency conditions for multivalued mappings ⋮ Feasibility in finite time ⋮ Nonlinear metric regularity on fixed sets ⋮ Subdifferentials of optimal value functions under metric qualification conditions ⋮ METRIC REGULARITY—A SURVEY PART II. APPLICATIONS ⋮ On metric and calmness qualification conditions in subdifferential calculus ⋮ Regularity modulus and radius of set-valued mappings ⋮ Directional Hölder metric regularity ⋮ Error bounds for systems of lower semicontinuous functions in Asplund spaces ⋮ Metric regularity of the sum of multifunctions and applications ⋮ A general metric regularity in asplund banach spaces ⋮ Metric regularity of composition set-valued mappings: metric setting and coderivative conditions ⋮ Preservation of Prox-Regularity of Sets with Applications to Constrained Optimization ⋮ Codifferential calculus ⋮ Error bounds for convex differentiable inequality systems in Banach spaces ⋮ Subgradient of distance functions with applications to Lipschitzian stability ⋮ Subdifferentiation of regularized functions

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