First and second-order optimality conditions without differentiability in multivalued vector optimization

DOI10.1007/s11117-015-0330-zzbMath1332.90237OpenAlexW2040953139MaRDI QIDQ891936

Phan Quoc Khanh, Nguyen Minh Tung

Publication date: 18 November 2015

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-015-0330-z

zbMATH Keywords

weak solutionsoptimality conditionproper solutionfirst and second-order approximationsenvelope-like effectfirm solutionmulti-valued vector optimization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48)

Related Items (6)

First- and second-order optimality conditions in optimistic bilevel set-valued programming ⋮ On necessary optimality conditions with higher-order complementarity slackness for set-valued optimization problems ⋮ Second-order optimality conditions with the envelope-like effect for set-valued optimization ⋮ Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization ⋮ Second-order conditions for open-cone minimizers and firm minimizers in set-valued optimization subject to mixed constraints ⋮ First- and second-order optimality conditions for multiobjective fractional programming

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