Directional Lipschitzian optimal solutions and directional derivative for the optimal value function in nonlinear mathematical programming

DOI10.1016/S0294-1449(17)30027-6zbMath0675.90078MaRDI QIDQ1122498

Robert Janin, Jacques Gauvin

Publication date: 1989

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1989__S6__305_0

zbMATH Keywords

perturbationsoptimal value functiondirectional derivativeLipschitzian solutionsLipschitz behaviour

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37)

Related Items (5)

Perturbation theory of nonlinear programs when the set of optimal solutions is not a singleton ⋮ A viscosity solution approach to regularity properties of the optimal value function ⋮ Directional Lipschitzian optimal solution of infinite-dimensional optimization problems ⋮ Hölder behavior of optimal solutions and directional differentiability of marginal functions in nonlinear programming ⋮ Directional derivatives of optimal solutions in smooth nonlinear programming

Cites Work

• On The Marginal Function in Nonlinear Programming
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• Lipschitzian Solutions of Perturbed Nonlinear Programming Problems
• Directional Behaviour of Optimal Solutions in Nonlinear Mathematical Programming
• Generalized equations and their solutions, part II: Applications to nonlinear programming
• Differential Stability in Nonlinear Programming

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