CHARACTERIZATIONS OF QUASICONVEX AND PSEUDOCONVEX FUNCTIONS BY THEIR SECOND-ORDER REGULAR SUBDIFFERENTIALS

DOI10.1017/S1446788719000090zbMath1450.26007OpenAlexW2943588025MaRDI QIDQ5118909

Mohammad Taghi Nadi, Jafar Zafarani

Publication date: 27 August 2020

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788719000090

zbMATH Keywords

quasiconvexitypseudoconvexitysecond-order subdifferentialsemismooth functions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Convexity of real functions of several variables, generalizations (26B25)

Related Items (3)

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 ⋮ Second-order characterizations of quasiconvexity and pseudoconvexity for differentiable functions with Lipschitzian derivatives

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