Characterizations of the solution set for a class of nonsmooth optimization problems

DOI10.1007/s11590-012-0471-yzbMath1269.90112OpenAlexW2041389440MaRDI QIDQ1947617

Yang, Xinmin, Ke Quan Zhao

Publication date: 23 April 2013

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-012-0471-y

zbMATH Keywords

Lagrange multipliersnonsmooth optimizationpseudoconvexitysolution setClarke's subdifferentials

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Related Items (15)

Characterizations of robust solution set of convex programs with uncertain data ⋮ Optimality conditions in optimization problems with convex feasible set using convexificators ⋮ Characterizations of the solution set for non-essentially quasiconvex programming ⋮ Characterizing robust optimal solution sets for nonconvex uncertain semi-infinite programming problems involving tangential subdifferentials ⋮ Characterizations of solution sets of differentiable quasiconvex programming problems ⋮ Characterizing the solution set of convex optimization problems without convexity of constraints ⋮ Unnamed Item ⋮ On characterization of solution sets of set-valued pseudoinvex optimization problems ⋮ Characterizing robust solution sets of convex programs under data uncertainty ⋮ Optimality conditions and constraint qualifications for quasiconvex programming ⋮ Characterizing the Solution Set for Nonconvex Semi-Infinite Programs Involving Tangential Subdifferentials ⋮ Dual approaches to characterize robust optimal solution sets for a class of uncertain optimization problems ⋮ Some characterizations of robust solution sets for uncertain convex optimization problems with locally Lipschitz inequality constraints ⋮ Characterizations of the approximate solution sets of nonsmooth optimization problems and its applications ⋮ Characterizations of the solution set for quasiconvex programming in terms of Greenberg-Pierskalla subdifferential

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