On Optimality Conditions for Henig Efficiency and Superefficiency in Vector Equilibrium Problems

DOI10.1080/01630563.2018.1501580zbMath1407.90338OpenAlexW2894846655MaRDI QIDQ4622806

Do Van Luu, Tran Thi Mai

Publication date: 18 February 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1501580

zbMATH Keywords

vector optimization problemsClarke subdifferentialvector variational inequalitiesvector equilibrium problemsMichel-Penot subdifferentiallocal Henig efficient solutionslocal superefficient solutions

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) General equilibrium theory (91B50)

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Optimality conditions for efficiency in locally Lipschitz vector equilibrium problem with constraints in terms of Michel-Penot's directional derivatives ⋮ Strong Karush-Kuhn-Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming ⋮ Higher-order Karush–Kuhn–Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming ⋮ Unnamed Item ⋮ On optimality conditions for set-valued equilibrium problems

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