Higher order optimality conditions in nonsmooth vector optimization

DOI10.1080/09720510.2002.10701062zbMath1079.90596OpenAlexW1980716654MaRDI QIDQ5708475

Ivan Ginchev

Publication date: 18 November 2005

Published in: Journal of Statistics and Management Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720510.2002.10701062

zbMATH Keywords

nonsmooth analysisnonsmooth vector optimizationhigher-order optimality conditionsisolated minimizershigher-order directional derivativesnonsmooth set and vector-valued functions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52)

Related Items (9)

Geoffrion type characterization of higher-order properly efficient points in vector optimization ⋮ Variational sets of perturbation maps and applications to sensitivity analysis for constrained vector optimization ⋮ Stability of properly efficient points and isolated minimizers of constrained vector optimization problems ⋮ Vector optimization problems with quasiconvex constraints ⋮ A note on Minty type vector variational inequalities ⋮ Higher-order variational sets and higher-order optimality conditions for proper efficiency in set-valued nonsmooth vector optimization ⋮ Efficiency and duality for vector optimization problem on Riemannian manifolds involving KT-B-invexity ⋮ Isolated minimizers and proper efficiency for \(C^{0,1}\) constrained vector optimization problems ⋮ Second-order conditions in \(C^{1,1}\) constrained vector optimization

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