Optimality conditions for non-Lipschitz vector problems with inclusion constraints

Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên

Phan Nhat Tinh¹ 

[1] University of Sciences, Hue University, 77 Nguyen Hue St., Hue, Vietnam;

关键词: non-lipschitz vector problem;    inclusion constraint;    approximation;    regularity;    optimality condition;   

DOI  :  10.26459/hueuni-jns.v128i1D.5276

来源: DOAJ

【 摘 要 】

We use the concept of approximation introduced by D.T. Luc et al. [1] as a generalized derivative for non-Lipschitz vector functions to consider vector problems with non-Lipschitz data under inclusion constraints. Some calculus of approximations are presented. A necessary optimality condition, a type of KKT condition, for local efficient solutions of the problems is established under an assumption on regularity. Applications and numerical examples are also given.

【 授权许可】

Unknown