Directional derivative estimates for the optimal value function of a quasidifferentiable programming problem

DOI10.1007/BF01586943zbMath0749.90072MaRDI QIDQ1181901

Bernd Luderer

Publication date: 27 June 1992

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

zbMATH Keywords

stability analysisdecompositionquasidifferentiable programmingnonlinear nonsmooth optimizationupper Dini directional derivative

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50)

Related Items (5)

Generalized derivatives and nonsmooth optimization, a finite dimensional tour (with comments and rejoinder) ⋮ Quasi-Multiplier Rules for Quasidifferentiable Extremum Problems ⋮ A practicable way for computing the directional derivative of the optimal value function in convex programming ⋮ Generalized K-T conditions and penalty functions for quasidifferentiable programming ⋮ Demyanov difference of two sets and optimality conditions of Lagrange multiplier type for constrained quasidifferential optimization.

Cites Work

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• On Shapiro's results in quasidifferential calculus
• Directional derivative of a minimax function
• Directional derivative of the marginal function in nonlinear programming
• Optimization and nonsmooth analysis
• Input optimization: I. Optimal realizations of mathematical models
• Directional differentiability of a continual maximum function of quasidifferentiable functions
• Quasidifferential calculus and first-order optimality conditions in nonsmooth optimization
• Survey of input optimization¹
• Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming
• Differential properties of the marginal function in mathematical programming
• Differential Stability in Nonlinear Programming
• Differentiable stability in non convex and non differentiable programming
• The quasidifferential of an optimal value function in nonsmooth programming
• Convex Analysis

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