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Date Published: 27/02/2023
Online Published: 27/02/2023
Online Published: 28/02/2023
Abstract Views: 118
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Vol. 1 No. 4 (2022)
Section
Articles
How to Cite
Do, V. L., & Tran, T. M. (2023). OPTIMALITY CONDITIONS FOR EFFICIENCY OF CONSTRAINED VECTOR EQUILIBRIUM PROBLEMS. Thang Long Journal of Science: Mathematics and Mathematical Sciences, 1(4), 67-85. https://science.thanglong.edu.vn/index.php/volc/article/view/49

OPTIMALITY CONDITIONS FOR EFFICIENCY OF CONSTRAINED VECTOR EQUILIBRIUM PROBLEMS

Van Luu Do1, , Thi Mai Tran2
1 Thang Long Institute of Mathematics and Applied Sciences
2 University of Economics and Business Administration

Main Article Content

Abstract

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.

Article Details

Keywords

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

References

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