Differential stability in non-Lipschitzian optimization
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Publication:1321164
DOI10.1007/BF00940081zbMath0794.90070MaRDI QIDQ1321164
Publication date: 27 April 1994
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Clarke generalized gradientupper and lower boundsmarginal functionexact penalty functionstangent conesdifferential stabilityDini directional derivativesCottle constraint qualification
Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52)
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An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization ⋮ Small convex-valued subdifferentials in mathematical programming
Cites Work
- Introduction to sensitivity and stability analysis in nonlinear programming
- General constraint qualifications in nondifferentiable programming
- On The Marginal Function in Nonlinear Programming
- Upper DSL approximates and nonsmooth optimization
- Optimization and nonsmooth analysis
- Exact penalty functions and stability in locally Lipschitz programming
- Nonsmooth Calculus in Finite Dimensions
- Regularity, calmness and support principle
- The Quantificational Tangent Cones
- Exact penalty functions in nonlinear programming
- On conditions to have bounded multipliers in locally lipschitz programming
- Generalized Directional Derivatives and Subgradients of Nonconvex Functions
- Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming
- Differential Stability in Nonlinear Programming
- Differentiable stability in non convex and non differentiable programming
- A New Approach to Lagrange Multipliers
- Directional Derivative Calculus and Optimality Conditions in Nonsmooth Mathematical Programming
- Convex Analysis
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