Lower semicontinuity of the minimum in parametric convex programs

DOI10.1023/A:1022652216355zbMath0893.90159MaRDI QIDQ1367731

Diethard Klatte

Publication date: 1 October 1997

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

zbMATH Keywords

lower semicontinuitysemi-infinite optimizationsemi-infinite convex optimizationinfimum value functionparametric convex programsparametric convex quadratic program

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31)

Related Items (5)

Global infimum of strictly convex quadratic functions with bounded perturbations ⋮ Some properties of boundedly perturbed strictly convex quadratic functions ⋮ Maximizing strictly convex quadratic functions with bounded perturbations ⋮ On smoothness properties of optimal value functions at the boundary of their domain under complete convexity ⋮ Sufficient conditions for the stability of the karush- kuhn - tucker point set in quadratic programming

Cites Work

• On the continuity of the maximum in parametric linear programming
• On the continuity of the minimum in parametric quadratic programs
• Convex Analysis
• Unnamed Item
• Unnamed Item

This page was built for publication: Lower semicontinuity of the minimum in parametric convex programs