شماره ركورد كنفرانس :
4057
عنوان مقاله :
A Hahn-Banach type separation theorem for nonconvex sets
عنوان به زبان ديگر :
A Hahn-Banach type separation theorem for nonconvex sets
پديدآورندگان :
Karimi Masoud karimi.masoud1984@gmail.com Department of Mathematics, Razi University, Kermanshah, Iran , Kasimbeyli Refail rkasimbeyli@anadolu.edu.tr Department of Industrial Engineering, Anadolu University, Iki Eylul Campus 26470, Eskisehir, Turkey
كليدواژه :
Nonlinear Separation Theorem , Hahn , Banach Theorem , Bishop , Phelps Cone , Separation Property
عنوان كنفرانس :
چهارمين كنفرانس بين المللي آناليز غير خطي و بهينه سازي
چكيده فارسي :
The aim of this paper is to present a Hahn-Banach type separation theorem for two disjoint closed sets of Euclidean
spaces such that one of them is not necessarily convex. By using the Kasimbeyli’s nonlinear separation theorem from [4] and
properties of Bishop-Phelps cones, we first prove a separation theorem for a given closed cone and a point outside from this cone
and then we use it to prove separation theorem for two disjoint sets. Illustrative examples are provided to highlight the important
aspects of these theorems.
چكيده لاتين :
The aim of this paper is to present a Hahn-Banach type separation theorem for two disjoint closed sets of Euclidean
spaces such that one of them is not necessarily convex. By using the Kasimbeyli’s nonlinear separation theorem from [4] and
properties of Bishop-Phelps cones, we first prove a separation theorem for a given closed cone and a point outside from this cone
and then we use it to prove separation theorem for two disjoint sets. Illustrative examples are provided to highlight the important
aspects of these theorems.
