Optimum Problems with Measurable Set-Valued Constraints

DOI10.1137/S1052623499350943zbMath1010.90095MaRDI QIDQ2706337

Vera Zeidan, Zsolt Páles

Publication date: 19 March 2001

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

zbMATH Keywords

second-order optimality conditionstangent and normal conessupport functional\mathbb{R}^m)\)convex sets in \(L^\infty(\Omegameasurable set-valued mapssecond-order admissible variations

Mathematics Subject Classification ID

Set-valued operators (47H04) Programming in abstract spaces (90C48) Semi-infinite programming (90C34) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (5)

Second-order Lagrange multiplier rules in multiobjective optimal control of infinite dimensional systems under state constraints and mixed pointwise constraints ⋮ First- and second-order optimality conditions for a strong local minimum in control problems with pure state constraints ⋮ Regularity of multipliers for multiobjective optimal control problems governed by evolution equations ⋮ Sufficient second-order optimality conditions for convex control constraints ⋮ Optimum problems with nonsmooth equality constraints

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