First and second-order optimality conditions using approximations for vector equilibrium problems with constraints

Phan Khanh () and Le Tung ()

Journal of Global Optimization, 2013, vol. 55, issue 4, 920 pages

Abstract: We consider various kinds of solutions to nonsmooth vector equilibrium problems with functional constraints. By using first and second-order approximations as generalized derivatives, we establish both necessary and sufficient optimality conditions. Our first-order conditions are shown to be applicable in many cases, where existing ones cannot be used. The second-order conditions are new. Copyright Springer Science+Business Media New York 2013

Keywords: Equilibrium problems; Ky Fan inequality; Optimality conditions; First and second-order approximations; Weak solutions; Firm solutions; Henig-proper solutions; Strong Henig-proper solutions; Benson-proper solutions; 90C46; 91B50 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-9984-2

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