On a theorem of Danskin with an application to a theorem of Von Neumann-Sion

DOI10.1016/0362-546X(94)00186-LzbMath0839.49006OpenAlexW2076626169MaRDI QIDQ4839244

Pierre Bernhard, Alain Rapaport

Publication date: 19 June 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00186-l

zbMATH Keywords

minimaxconvexitydualitysubdifferentialsaddle pointsvalue functiondirectional derivatives

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Existence of solutions for minimax problems (49J35) Optimality conditions for minimax problems (49K35)

Related Items (13)

Differentiability With Respect to the Initial Condition for Hamilton--Jacobi Equations ⋮ Estimates of generalized hessians for optimal value functions in mathematical programming ⋮ Systemic risk measures on general measurable spaces ⋮ Minimax Problems with Coupled Linear Constraints: Computational Complexity and Duality ⋮ A Data-Driven Functionally Robust Approach for Simultaneous Pricing and Order Quantity Decisions with Unknown Demand Function ⋮ Optimal actuator design based on shape calculus ⋮ Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions ⋮ Value Function Calculus and Applications ⋮ Local two-sided bounds for eigenvalues of self-adjoint operators ⋮ Generalized solutions to bounded-confidence models ⋮ On the unbalanced cut problem and the generalized Sherrington-Kirkpatrick model ⋮ Chain differentials with an application to the mathematical fear operator ⋮ Minimax -- or feared value -- \(L ^{1}\)/\(L ^{\infty}\) control

Cites Work

• On general minimax theorems
• \(H^ \infty\) - optimal control and related minimax design problems. A dynamic game approach
• Directional derivatives of optimal solutions in smooth nonlinear programming
• On Subdifferentials of Optimal Value Functions
• Extensions of subgradient calculus with applications to optimization
• The Generalized Gradient of a Marginal Function in Mathematical Programming
• Gradients Généralisés de Fonctions Marginales
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a theorem of Danskin with an application to a theorem of Von Neumann-Sion