Second-order characterization of convex mappings in Banach spaces and its applications

DOI10.1007/s10898-023-01301-zzbMath1528.26018OpenAlexW4380606781MaRDI QIDQ6109058

Publication date: 26 July 2023

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-023-01301-z

zbMATH Keywords

vector optimization convex function second-order subdifferential locally Lipschitz convex mapping lower-\(C^1\) function

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued operators (47H04) Convexity of real functions of several variables, generalizations (26B25)

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