Metric Regularity in Convex Semi-Infinite Optimization under Canonical Perturbations
From MaRDI portal
Publication:3519399
DOI10.1137/060658345zbMath1211.90256OpenAlexW2055069316MaRDI QIDQ3519399
Diethard Klatte, Marco A. López, Maria J. Cánovas, Juan Parra
Publication date: 14 August 2008
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/060658345
Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31) Linear programming (90C05) Set-valued and variational analysis (49J53) Semi-infinite programming (90C34)
Related Items
Stable zero duality gaps in convex programming: complete dual characterisations with applications to semidefinite programs ⋮ Lipschitz behavior of solutions to nonconvex semi-infinite vector optimization problems ⋮ Stability analysis for vector quasiequilibrium problems ⋮ Stationarity and regularity of infinite collections of sets: applications to infinitely constrained optimization ⋮ Marco A. López, a pioneer of continuous optimization in Spain ⋮ Subdifferentials and stability analysis of feasible set and Pareto front mappings in linear multiobjective optimization ⋮ Stability analysis for generalized semi-infinite optimization problems under functional perturbations ⋮ Stability in linear optimization and related topics. A personal tour ⋮ Regularity modulus of arbitrarily perturbed linear inequality systems ⋮ An SDP method for fractional semi-infinite programming problems with SOS-convex polynomials ⋮ Stability of semi-infinite vector optimization problems without compact constraints ⋮ Subdifferential of optimal value functions in nonlinear infinite programming ⋮ Density of stable convex semi-infinite vector optimization problems ⋮ Stability and augmented Lagrangian duality in nonconvex semi-infinite programming ⋮ On stable uniqueness in linear semi-infinite optimization ⋮ On metric regularity and the boundary of the feasible set in linear optimization ⋮ On coderivatives and Lipschitzian properties of the dual pair in optimization ⋮ Lipschitz behavior of convex semi-infinite optimization problems: a variational approach ⋮ Lower semi-continuity of the Pareto solution map in quasiconvex semi-infinite vector optimization ⋮ A viscosity solution approach to regularity properties of the optimal value function ⋮ Point-based neighborhoods for sharp calmness constants in linear programming ⋮ A note on the compactness of the index set in convex optimization. Application to metric regularity ⋮ Semi-infinite optimization under convex function perturbations: Lipschitz stability ⋮ On implicit active constraints in linear semi-infinite programs with unbounded coefficients ⋮ Convexity and Variational Analysis ⋮ Quantitative Analysis for Perturbed Abstract Inequality Systems in Banach Spaces ⋮ On the Lipschitz modulus of the argmin mapping in linear semi-infinite optimization ⋮ Isolated calmness of solution mappings in convex semi-infinite optimization ⋮ Stability of indices in the KKT conditions and metric regularity in convex semi-infinite optimization ⋮ Sensitivity Analysis for Vector Equilibrium Problems under Functional Perturbations ⋮ Lipschitz modulus in convex semi-infinite optimizationviad.c. functions ⋮ Lipschitz modulus of the optimal value in linear programming ⋮ Calmness of linear constraint systems under structured perturbations with an application to the path-following scheme ⋮ Stability of semi-infinite vector optimization problems under functional perturbations ⋮ Pseudo-Lipschitz property of linear semi-infinite vector optimization problems ⋮ Sufficient conditions for pseudo-Lipschitz property in convex semi-infinite vector optimization problems ⋮ On calmness of the argmin mapping in parametric optimization problems ⋮ Stability of the primal-dual partition in linear semi-infinite programming
