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Ngày xuất bản: 27/02/2023
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Tập 1 Số 4 (2022)
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Do, V. L., & Tran, T. M. (2023). OPTIMALITY CONDITIONS FOR EFFICIENCY OF CONSTRAINED VECTOR EQUILIBRIUM PROBLEMS. Tạp chí Khoa học Thăng Long: Toán và các Khoa học liên quan, 1(4), 67-85. https://science.thanglong.edu.vn/index.php/volc/article/view/49

OPTIMALITY CONDITIONS FOR EFFICIENCY OF CONSTRAINED VECTOR EQUILIBRIUM PROBLEMS

Do Van Luu , Tran Thi Mai

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Tóm tắt

Fritz John necessary conditions for local Henig and global efficient solutions of vector equilibrium problems involving equality, inequality and set constraints with nonsmooth functions are established via convexificators. Under suitable constraint qualications, Kuhn-Tucker necessary conditions for local Henig and gobally efficient solutions are derived. Note that Henig and global efficient solutions of (VEP) are studied with respect to a closed convex cone. Sufficient condition for Henig and globally efficient solutions are derived under some assumptions on asymptotic semiinvexityinfne of the problem. Some illustrative examples are also given.

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Từ khóa

Local Henig efficient solution, local global solution, vector equilibrium problems, Fritz John and Kuhn-Tucker necessary conditions, convexificators

Tài liệu tham khảo

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