Optimum Problems with Certain Lower Semicontinuous Set-Valued Constraints

DOI10.1137/S105262349630725XzbMath0913.90263MaRDI QIDQ4210327

Vera Zeidan, Zsolt Páles

Publication date: 21 September 1998

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

zbMATH Keywords

set-valued mapsconvex setslower semicontinuoustangent and normal conessupport functionalnonempty interiorsecond-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)

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First- and second-order necessary optimality conditions for optimal control problems governed by stationary Navier-Stokes equations with pure state constraints ⋮ First- and second-order optimality conditions for a strong local minimum in control problems with pure state constraints ⋮ Second-order sufficient optimality conditions for an optimal control problem with mixed constraints ⋮ Second-order necessary optimality conditions for semilinear elliptic optimal control problems ⋮ Risk-neutral multiobjective optimal control of random Volterra integral equations ⋮ Feasible perturbations of control systems with pure state constraints and applications to second-order optimality conditions ⋮ Optimum problems with nonsmooth equality constraints ⋮ Second-order necessary optimality conditions for an optimal control problem ⋮ Necessary optimality conditions for local minimizers of stochastic optimal control problems with state constraints ⋮ Second-order necessary optimality conditions for a class of optimal control problems governed by partial differential equations with pure state constraints ⋮ Second-order necessary optimality conditions for an optimal control problem with nonlinear state equations

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