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

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

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Year of publication:	2013
Authors:	Khanh, Phan ; Tung, Le
Published in:	Journal of Global Optimization. - Springer. - Vol. 55.2013, 4, p. 901-920
Publisher:	Springer
Subject:	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

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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