Keywords
non-Lipschitz vector problem
inclusion constraint
approximation
regularity
optimality condition
inclusion constraint
approximation
regularity
optimality condition
How to Cite
1.
Tinh PN. Optimality conditions for non-Lipschitz vector problems with inclusion constraints. hueuni-jns [Internet]. 2019Nov.11 [cited 2024Apr.24];128(1D):5-15. Available from: https://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/5276
Abstract
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.References
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