Please use this identifier to cite or link to this item: 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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