Quasidifferentiabilities of the expectation functions of random quasidifferentiable functions

DOI10.1080/02331934.2020.1818235zbMath1492.49021OpenAlexW3084818191MaRDI QIDQ5085232

Zun-Quan Xia, Si-Da Lin, Dan Li, Ming Huang

Publication date: 27 June 2022

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2020.1818235

zbMATH Keywords

measurable multifunctionadjoint kernelled quasidifferentialdemyanov differencekernelled quasidifferentialrandom quasidifferentiable function

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Set-valued maps in general topology (54C60) Fréchet and Gateaux differentiability in optimization (49J50) Existence of optimal solutions to problems involving randomness (49J55)

Related Items (3)

A redistributed proximal bundle method for nonsmooth nonconvex functions with inexact information ⋮ Codifferentials and Quasidifferentials of the Expectation of Nonsmooth Random Integrands and Two-Stage Stochastic Programming ⋮ Characterization of nonsmooth quasiconvex functions and their Greenberg-Pierskalla's subdifferentials using semi-quasidifferentiability notion

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