A Fritz John optimality condition using the approximate subdifferential

DOI10.1007/BF02191853zbMath0807.49023OpenAlexW1995063608MaRDI QIDQ1333348

B. M. Glover, Bruce D.Craven

Publication date: 1 March 1995

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

Full work available at URL: https://doi.org/10.1007/bf02191853

zbMATH Keywords

nonsmooth analysisLipschitz functionsapproximate subdifferentialFritz John type first- order optimality conditionnondifferential programming

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Optimality conditions for problems in abstract spaces (49K27)

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Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems ⋮ Topological properties of the approximate subdifferential ⋮ Optimality conditions for nonsmooth equilibrium problems via Hadamard directional derivative ⋮ Topological characterization of the approximate subdifferential in the finite-dimensional case ⋮ Metric regularity for strongly compactly Lipschitzian mappings ⋮ DIRECTIONAL COMPACTNESS, SCALARIZATION AND NONSMOOTH SEMI-FREDHOLM MAPPINGS ⋮ Lagrange multipliers for multiobjective programs with a general preference ⋮ On the functions with pseudoconvex sublevel sets and optimality conditions ⋮ An approach to vector subdifferentials ⋮ Existence of Lagrange Multipliers under Gâteaux Differentiable Data with Applications to Stochastic Optimal Control Problems ⋮ Some non-smooth optimality results for optimization problems with vanishing constraints via Dini-Hadamard derivative ⋮ Extensions of Fréchet \(\varepsilon\)-subdifferential calculus and applications

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