Characterization of Quasiconvexity for Locally Lipschitz Vector-Valued Functions

DOI10.1080/0233193031000079874zbMath1026.49014OpenAlexW1999005441MaRDI QIDQ4430666

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Publication date: 12 October 2003

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0233193031000079874

zbMATH Keywords

quasiconvexityscalarizationquasimonotonicitygeneralized directional derivativeClarke's generalized Jacobianlocally Lipschitz vector-valued functions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52) Set-valued functions (26E25) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

• Subdifferential properties of quasiconvex and pseudoconvex functions: Unified approach
• A solvability theorem for a class of quasiconvex mappings with applications to optimization
• Seven kinds of monotone maps
• Generalized monotonicity and generalized convexity
• Optimization and nonsmooth analysis
• Characterizations of generalized convexities via generalized directional derivatives
• Characterisations of quasiconvex functions
• Generalized quasimonotonicity and strong pseudomonotonicity of bifunctions
• Characterization of scalar quasiconvexity and convexity of locally lipschitz vector-valued maps
• On polar generalized monotonicity in vector optimization

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