Second order optimality conditions for the extremal problem under inclusion constraints

DOI10.1016/S0022-247X(03)00399-8zbMath1029.49014MaRDI QIDQ1408776

Nazih Abderrazzak Gadhi, Tijani Amahroq

Publication date: 25 September 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

second order approximationoptimality conditionClarke subdifferentialsupport functionset-valued mapcontingent conesecond order contingent set

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

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Cites Work

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• 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
• An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
• Second-order optimality conditions for the extremal problem under inclusion constraints
• On the regularity condition for vector programming problems
• Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
• A unified theory of first and second order conditions for extremum problems in topological vector spaces
• Second order approximations and dual necessary optimality conditions

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