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Khanh P.Q.,International University of Hochiminh City Linh Trung | Quy D.N.,Can Tho University
Journal of Global Optimization | Year: 2013

We consider Ekeland's variational principle for multivalued maps. Instead of dealing with directional perturbations in a direction of the positive cone of the image space, we perturb the map under question by a convex subset of the positive cone to get stronger and more general versions. Many example are provided to highlight relations of our results to existing ones, including their advantages. © 2012 Springer Science+Business Media New York. Source


Khanh P.Q.,International University of Hochiminh City Linh Trung | Tung L.T.,Can Tho University
Journal of Global Optimization | Year: 2013

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. © 2012 Springer Science+Business Media New York. Source

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