Necessary Conditions for Constrained Optimization Problems in Smooth Banach Spaces and Applications

DOI10.1137/S105262340138339zbMath1033.49034OpenAlexW2006589841MaRDI QIDQ4785860

Qiji J. Zhu

Publication date: 5 January 2003

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

Full work available at URL: https://doi.org/10.1137/s105262340138339

zbMATH Keywords

constrained optimizationmultiplier ruleequilibrium constraintsnecessary conditionbornologysubdifferential calculus

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Optimality conditions for problems in abstract spaces (49K27)

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A variational approach to Lagrange multipliers ⋮ The Lagrange multiplier rule for super efficiency in vector optimization ⋮ Expressions for subdifferential and optimization problems defined by nonsmooth homogeneous functions ⋮ A nondegenerate fuzzy optimality condition for constrained optimization problems without qualification conditions ⋮ Optimum problems with nonsmooth equality constraints

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