Multipliers and generalized derivatives of performance functions

DOI10.1023/A:1022699214712zbMath0886.90180MaRDI QIDQ1357529

Jean-Paul Penot

Publication date: 10 June 1997

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

zbMATH Keywords

nonsmooth analysissubdifferentialmarginal analysisperformance functionFréchet subdifferentials

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Programming in abstract spaces (90C48)

Related Items (9)

Subdifferential stability analysis for convex optimization problems via multiplier sets ⋮ Multipliers and general Lagrangians ⋮ Stability of efficient sets: continuity of mobile polarities ⋮ Critical duality ⋮ Perturbed convex programming in reflexive Banach spaces ⋮ Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions ⋮ Are dualities appropriate for duality theories in optimization? ⋮ Parametrized multicriteria optimization; order continuity of the marginal multifunctions ⋮ Images of connected sets by semicontinuous multifunctions

Cites Work

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• Differential stability in infinite-dimensional nonlinear programming
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• First and second order sensitivity analysis of nonlinear programs under directional constraint qualification conditions
• Directional Behaviour of Optimal Solutions in Nonlinear Mathematical Programming
• Nonuniqueness of Solutions in the Calculus of Variations: A Geometric Approach
• Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming
• b-Subgradients of the optimal value function in nonlinear programming

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