Image of a parametric optimization problem and continuity of the perturbation function

DOI10.1007/BF02190319zbMath0807.90110MaRDI QIDQ1331113

Nguyen Dong Yen, Massimo Pappalardo, Giandomenico Mastroeni

Publication date: 9 August 1994

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

zbMATH Keywords

upper semicontinuitylower semicontinuitymarginal functionimage of a parametric optimization problem

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Programming in abstract spaces (90C48)

Related Items (12)

Image space analysis to Lagrange-type duality for constrained vector optimization problems with applications ⋮ Conjugate duality in set-valued vector optimization ⋮ Stability of the solution set of perturbed nonsmooth inequality systems and application ⋮ A unified approach for constrained extremum problems: image space analysis ⋮ Unified duality theory for constrained extremum problems. I: Image space analysis ⋮ Optimization problems with cone constraints in groups and semigroups: an approach based on image space analysis ⋮ Unnamed Item ⋮ Image space approach and subdifferentials of integral functionals ⋮ Vector variational-like inequalities with constraints: separation and alternative ⋮ Lagrangian duality and cone convexlike functions ⋮ Some applications of the image space analysis to the duality theory for constrained extremum problems ⋮ Perturbation of image and conjugate duality for vector optimization

Cites Work

• Introduction to sensitivity and stability analysis in nonlinear programming
• Regularity conditions for constrained extremum problems via image space
• Theorems of the alternative and optimality conditions
• Point-to-Set Maps in Mathematical Programming
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