Optimality conditions for maximizing a locally Lipschitz function

DOI10.1080/02331930500100213zbMath1092.90059OpenAlexW2084754442MaRDI QIDQ5317734

Joydeep Dutta

Publication date: 21 September 2005

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930500100213

zbMATH Keywords

optimality conditionsClarke subdifferentiallocally Lipschitz functionlimiting subdifferentialconvexifactorsglobal maximizationsemistrictly quasiconvex functionLipschitz pseudoconvex function

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (5)

Generalized derivatives and nonsmooth optimization, a finite dimensional tour (with comments and rejoinder) ⋮ Generalized penalization and maximization of vectorial nonsmooth functions ⋮ Sufficient conditions for global weak Pareto solutions in multiobjective optimization ⋮ On the maximization of (not necessarily) convex functions on convex sets ⋮ Maximizing and minimizing quasiconvex functions: related properties, existence and optimality conditions via radial epiderivatives

Cites Work

• Convexifactors, generalized convexity, and optimality conditions
• Nonsmooth calculus, minimality, and monotonicity of convexificators
• Generalized differential calculus for nonsmooth and set-valued mappings
• Hunting for a smaller convex subdifferential
• Characterization of nonsmooth semistrictly quasiconvex and strictly quasiconvex functions
• Necessary conditions in nonsmooth minimization via lower and upper subgradients
• Strong and Weak Convexity of Sets and Functions
• Generalized convexity in nondifferentiable programming
• Characterization of nonsmooth functions through their generalized gradients
• Convexifactors, generalized convexity and vector optimization

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