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

@article{Khanh2013FirstAS,
  title={First and second-order optimality conditions using approximations for vector equilibrium problems with constraints},
  author={Phan Quoc Khanh and Le Thanh Tung},
  journal={Journal of Global Optimization},
  year={2013},
  volume={55},
  pages={901-920}
}
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. 

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