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https://hdl.handle.net/20.500.13087/1142| Title: | Separation theorems for nonconvex sets and application in optimization | Authors: | Kasımbeyli, Refail Karimi, Masoud |
Keywords: | Nonlinear separation theorem Augmented dual cones Nonconvex optimization |
Issue Date: | 2019 | Publisher: | Elsevier | Abstract: | The aim of this paper is to present separation theorems for two disjoint closed sets, without convexity condition. First, a separation theorem for a given closed cone and a point outside from this cone, is proved and then it is used to prove a separation theorem for two disjoint sets. Illustrative examples are provided to highlight the important aspects of these theorems. An application to optimization is also presented to prove optimality condition for a nonconvex optimization problem. (C) 2019 Elsevier B.V. All rights reserved. | URI: | https://doi.org/10.1016/j.orl.2019.09.011 https://hdl.handle.net/20.500.13087/1142 |
ISSN: | 0167-6377 1872-7468 |
| Appears in Collections: | Biyoloji Bölümü Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu WoS İndeksli Yayınlar Koleksiyonu |
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