Regularity estimates for convex multifunctions

DOI10.1007/s10107-007-0157-xzbMath1157.49026OpenAlexW2057582281MaRDI QIDQ959973

Alexander D. Ioffe, Yoshiyuki Sekiguchi

Publication date: 16 December 2008

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10107-007-0157-x

zbMATH Keywords

regularity estimateconvex set-valued mappingsperfect regularityrate of metric regularity of a mappingrate of surjection of a mapping

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (12)

Linear regularity, equirregularity, and intersection mappings for convex semi-infinite inequality systems ⋮ Exact estimates of regularity modulus for infinite programming ⋮ DC optimization approach to metric regularity of convex multifunctions with applications to infinite systems ⋮ Stability in linear optimization and related topics. A personal tour ⋮ Quantitative stability of linear infinite inequality systems under block perturbations with applications to convex systems ⋮ The radius of metric subregularity ⋮ METRIC REGULARITY—A SURVEY PART 1. THEORY ⋮ METRIC REGULARITY—A SURVEY PART II. APPLICATIONS ⋮ On coderivatives and Lipschitzian properties of the dual pair in optimization ⋮ On regularity of convex multifunctions ⋮ Convexity and Variational Analysis ⋮ Global inversion for metrically regular mappings between Banach spaces

Cites Work

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• Norm duality for convex processes and applications
• Metric regularity of semi-infinite constraint systems
• Some mapping theorems
• Regularity and Stability for Convex Multivalued Functions
• LYUSTERNIK'S THEOREM AND THE THEORY OF EXTREMA
• Stability Theory for Systems of Inequalities. Part I: Linear Systems
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
• Metric regularity and subdifferential calculus
• The radius of metric regularity

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