FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS
Keywords:Equilibrium problems, Optimality conditions, First and second-order approximations, Weak solutions, Firm solutions, Henig-proper solutions, Strong Henig-proper solutions, Benson-proper solutions
We consider various kinds of solutions to nonsmooth vector equilibrium problems with functional constraints. By using first and second-order approximations as generalise 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 applied. The second-order conditions are new.
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Copyright (c) 2012 Phan Quốc Khánh, Lê Thanh Tùng
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