Optimality conditions for non-Lipschitz vector problems with inclusion constraints
Tập 128 Số 1D (2019), Nghiên cứu
Tập 128 Số 1D (2019)

Optimality conditions for non-Lipschitz vector problems with inclusion constraints

Nghiên cứu
https://doi.org/10.26459/hueuni-jns.v128i1D.5276
Đã xuất bản 2019-11-11
Phan Nhật Tĩnh
University of Sciences, Hue University, 77 Nguyen Hue St., Hue, Vietnam

Tóm tắt

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.
https://doi.org/10.26459/hueuni-jns.v128i1D.5276
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