Second-order optimality conditions in minimax optimization problems

DOI10.1007/s10957-012-0097-3zbMath1279.90188OpenAlexW2001541013MaRDI QIDQ1949567

Aparna Mehra, Anulekha Dhara

Publication date: 8 May 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0097-3

zbMATH Keywords

regularity conditionsminimax problemMFCQ\(C(1,1)\) functionAbadieapproximate Clarke's Hessianfirst- and second-order tangent setsfunctional order conenecessary (sufficient) second-order optimality conditionssecond-order vector valued Taylor's formula

Mathematics Subject Classification ID

Semidefinite programming (90C22) Minimax problems in mathematical programming (90C47) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48) Optimality conditions for minimax problems (49K35) Optimality conditions for problems in abstract spaces (49K27)

Related Items (4)

Second-order sequence-based necessary optimality conditions in constrained nonsmooth vector optimization and applications ⋮ New second-order tangent epiderivatives and applications to set-valued optimization ⋮ On necessary optimality conditions for nonsmooth vector optimization problems with mixed constraints in infinite dimensions ⋮ Second-Order M-Composed Tangent Derivative and Its Applications

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