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First and Second-Order Approximations as Derivatives of Mappings in Optimality Conditions for Nonsmooth Vector Optimization

✍ Scribed by Phan Quoc Khanh; Nguyen Dinh Tuan


Publisher
Springer
Year
2008
Tongue
English
Weight
427 KB
Volume
58
Category
Article
ISSN
0095-4616

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First and second order sufficient condit
✍ Bienvenido JimΓ©nez; Vicente Novo πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 150 KB

In this paper we present first and second order sufficient conditions for strict local minima of orders 1 and 2 to vector optimization problems with an arbitrary feasible set and a twice directionally differentiable objective function. With this aim, the notion of support function to a vector proble