Existence of augmented Lagrange multipliers for cone constrained optimization problems

DOI10.1007/s10898-013-0046-1zbMath1330.90130OpenAlexW2025674539MaRDI QIDQ742117

Yu Ying Zhou, Jin Chuan Zhou, Xiao Qi Yang

Publication date: 18 September 2014

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-013-0046-1

zbMATH Keywords

Banach spacesaddle pointaugmented Lagrange multipliercone constrained optimization problemzero duality gap property

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)

Related Items (6)

Existence of augmented Lagrange multipliers for semi-infinite programming problems ⋮ Existence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principle ⋮ Gap functions and global error bounds for differential variational-hemivariational inequalities ⋮ A unified approach to the global exactness of penalty and augmented Lagrangian functions. I: Parametric exactness ⋮ Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property ⋮ Lagrangian multipliers for generalized affine and generalized convex vector optimization problems of set-valued maps

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