FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS

Tạp chí Khoa học Đại học Đà Lạt

Lê Thanh Tùng¹  Phan Quốc Khánh² 

[1] Cantho University;International University, Vietnam National University Ho Chi Minh City;

关键词: Equilibrium problems;    Optimality conditions;    First and second-order approximations;    Weak solutions;    Firm solutions;    Henig-proper solutions;   

DOI  :  10.37569/DalatUniversity.2.3.202(2012)

来源: DOAJ

【 摘 要 】

We consider various kinds of solutions to nonsmooth vector equilibrium problems with functional constraints. By using first and second-order approximations as generalise 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 applied. The second-order conditions are new.

【 授权许可】

Unknown