On optimality conditions for vector variational inequalities |
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| Authors: | Do Van Luu Dinh Dieu Hang |
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| Affiliation: | 1. Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet Road, 10307 Hanoi, Viet Nam;2. Department of Basic Sciences, Thai Nguyen College of Information and Communication Technology, Thai Nguyen City, Viet Nam |
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| Abstract: | Optimality conditions for weak efficient, global efficient and efficient solutions of vector variational inequalities with constraints defined by equality, cone and set constraints are derived. Under various constraint qualifications, necessary optimality conditions for weak efficient, global efficient and efficient solutions in terms of the Clarke and Michel–Penot subdifferentials are established. With assumptions on quasiconvexity of constraint functions sufficient optimality conditions are also given. |
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| Keywords: | Weak efficient solutions Global efficient solutions Efficient solutions Clarke subdifferentials Michel&ndash Penot subdifferentials Constraint qualifications |
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