Second-order optimality conditions for the extremal problem under inclusion constraints

DOI10.1007/BF01447647zbMath0679.90063MaRDI QIDQ1823156

Pham Huy Dien, Pham Hu'u Sach

Publication date: 1989

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

second-order necessary and sufficient conditions

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items

Second-order conditions in c^{1, 1}optimization with applications ⋮ Further properties of the regularity of inclusion systems ⋮ First- and second-order optimality conditions in optimistic bilevel set-valued programming ⋮ Second order optimality conditions for the extremal problem under inclusion constraints ⋮ Second-order optimality conditions in minimax optimization problems ⋮ Second-order necessary optimality conditions for optimization problems involving set-valued maps ⋮ A new second order optimality conditions for the extremal problem under inclusion constraints ⋮ Second-order necessary optimality conditions via directional regularity ⋮ Second-order optimality conditions using approximations for nonsmooth vector optimization problems under inclusion constraints ⋮ Second order optimality conditions for bilevel set optimization problems

Cites Work

• Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
• Locally Lipschitzian set-valued maps and generalized extremal problems with inclusion constraints
• On the regularity condition for the extremal problem under locally Lipschitz inclusion constraints
• A unified theory of first and second order conditions for extremum problems in topological vector spaces
• Generalized Gradients and Applications
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