Extended radial epiderivatives of non-convex vector-valued maps and parametric quasiconvex programming

DOI10.1080/02331934.2013.811665zbMath1312.49013OpenAlexW2159277148MaRDI QIDQ5248202

Hassan Riahi, Mohamed Ait Mansour

Publication date: 28 April 2015

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2013.811665

zbMATH Keywords

optimality conditionssemicontinuityradial epiderivativesnon-convex vector-valued functionsparametric quasiconvex programmingset-valued hypographical/epigraphical profile mappings

Mathematics Subject Classification ID

Partial orders, general (06A06) Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Continuity properties of mappings on manifolds (58C07)

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An extremal vector problem under inclusion constraints via radial epi-derivatives, Maximizing and minimizing quasiconvex functions: related properties, existence and optimality conditions via radial epiderivatives

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