Second-order characterizations of \(\mathcal{C}^1\)-smooth robustly quasiconvex functions

DOI10.1016/j.orl.2018.09.003zbMath1476.49021OpenAlexW2893667449MaRDI QIDQ2294239

Vo Thanh Phat, Pham Duy Khanh

Publication date: 10 February 2020

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.orl.2018.09.003

zbMATH Keywords

quasiconvexityconvexitypseudoconvexitysecond-order subdifferentialrobust quasiconvexity\( \mathcal{C}^1\)-smooth function

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25)

Related Items (4)

Second-order optimality conditions for constrained optimization problems with \(C^1\) data via regular and limiting subdifferentials ⋮ Second-order characterization of convex mappings in Banach spaces and its applications ⋮ Variational Convexity of Functions and Variational Sufficiency in Optimization ⋮ Characterizations of nonsmooth robustly quasiconvex functions

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• Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming
• Stability of generalized monotone maps with respect to their characterizations
• Variational Analysis
• Functions Which Are Quasiconvex under Linear Perturbations

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