Higher order necessary conditions for an abstract optimization problem

DOI10.1007/BFb0120922zbMath0449.90099OpenAlexW103721541MaRDI QIDQ3896869

B. Gollan

Publication date: 1981

Published in: Mathematical Programming Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0120922

zbMATH Keywords

Lagrange multipliersperturbation theoryoptimality conditionsequality constraintsBanach spaceinequality constraintsmultiplier ruleabstract optimization problemno constraint qualificationderived conesfinite number of constraintsFritz John typehigher order necessary optimality conditions

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Programming in abstract spaces (90C48)

Related Items (6)

Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization ⋮ Perturbation theory for abstract optimization problems ⋮ Higher-Order Optimality Conditions and Higher-Order Tangent Sets ⋮ Higher-order necessary conditions for infinite and semi-infinite optimization ⋮ Tangency and differentiation: Marginal functions ⋮ Higher-Order Efficiency Conditions Via Higher-Order Tangent Cones

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