Optimality Conditions for Quasi-Differentiable Programs with Application to Two-Level Optimization

DOI10.1137/0326079zbMath0661.90081OpenAlexW2058958838MaRDI QIDQ3812054

Y. Ishizuka

Publication date: 1988

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0326079

zbMATH Keywords

directional derivativestwo-level optimizationquasi-differentiabilitypositively homogeneous functionOptimality conditionsgeneralized Farkas theorem

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Fréchet and Gateaux differentiability in optimization (49J50) Optimality conditions for free problems in two or more independent variables (49K10)

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Bilevel and multilevel programming: A bibliography review ⋮ Directionally differentiable multiobjective optimization involving discrete inclusions ⋮ Comparison between quasidifferentials and exhausters ⋮ Inhomogeneous convex approximations of nonsmooth functions ⋮ A Fenchel-Lagrange duality approach for a bilevel programming problem with extremal-value function ⋮ Efficiency Criteria and Duality Models for Multiobjective Fractional Programming Problems Containing Locall'y Subdifferentiable and ρ-Convex Functions ⋮ Abstract convex approximations of nonsmooth functions ⋮ A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography ⋮ Optimality conditions and duality models for generalized fractional programming problems containing locally subdifferentiable and ρ:-convex functions ⋮ Optimality conditions for directionally differentiable multi-objective programming problems

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