Optimality conditions for non-Lipschitz vector problems with inclusion constraints
Phan Nhật Tĩnh · HUE UNIVERSITY JOURNAL OF SCIENCE NATURAL SCIENCE · 2019
We use the concept of approximation introduced by D.T Luc et al. as 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, 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.