On coderivatives and Lipschitzian properties of the dual pair in optimization

DOI10.1016/j.na.2011.06.036zbMath1254.90265OpenAlexW1968179651MaRDI QIDQ654087

Marco A. López, Virginia N. Vera de Serio, Andrea B. Ridolfi

Publication date: 21 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.06.036

zbMATH Keywords

stabilitycoderivativedual pair and duality theoryLipschitz-like property and Lipschitz modulisemi-infinite and infinite-dimensional programming

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Programming in abstract spaces (90C48) Semi-infinite programming (90C34) Duality theory for topological vector spaces (46A20)

Related Items (2)

Marco A. López, a pioneer of continuous optimization in Spain ⋮ A note on primal-dual stability in infinite linear programming

Cites Work

• Regularity estimates for convex multifunctions
• Recent contributions to linear semi-infinite optimization
• Regularity modulus of arbitrarily perturbed linear inequality systems
• Metric regularity and systems of generalized equations
• Metric regularity of semi-infinite constraint systems
• On the Stability of the Feasible Set in Optimization Problems
• Programmes in Paired Spaces
• Coderivative Analysis of Quasi‐variational Inequalities with Applications to Stability and Optimization
• Metric Regularity in Convex Semi-Infinite Optimization under Canonical Perturbations
• Variational Analysis in Semi-Infinite and Infinite Programming, I: Stability of Linear Inequality Systems of Feasible Solutions
• Lipschitz modulus in convex semi-infinite optimizationviad.c. functions
• Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
• coderivatives of set-valued mappings: Calculus and applications
• Metric regularity and subdifferential calculus
• Stability and Well-Posedness in Linear Semi-Infinite Programming
• Functional analysis and infinite-dimensional geometry
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