Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Geometric conditions of reduction of coexhausters. / Abbasov, Majid E.
2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. ред. / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. стр. 12-14 7973926.Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Geometric conditions of reduction of coexhausters
AU - Abbasov, Majid E.
N1 - Publisher Copyright: © 2017 IEEE.
PY - 2017/7/10
Y1 - 2017/7/10
N2 - Exhausters and coexhausters were proposed by V.F. Demyanov and is used for studying nonsmooth functions. These objects are families of convex compact sets in terms of which optimality conditions are described. This makes possible to construct effective optimization algorithms for nonsmooth problems. Exhausters and coexhausters are not uniquely defined. The smaller families the easier computations. So the problem of finding the minimal family arises. V.A. Roshchina was the first who considered this problem for exhausters. Here we consider the same problem for coexhausters. We use Roshchina's definition of minimality but propose another, more geometric approach to this question.
AB - Exhausters and coexhausters were proposed by V.F. Demyanov and is used for studying nonsmooth functions. These objects are families of convex compact sets in terms of which optimality conditions are described. This makes possible to construct effective optimization algorithms for nonsmooth problems. Exhausters and coexhausters are not uniquely defined. The smaller families the easier computations. So the problem of finding the minimal family arises. V.A. Roshchina was the first who considered this problem for exhausters. Here we consider the same problem for coexhausters. We use Roshchina's definition of minimality but propose another, more geometric approach to this question.
UR - http://www.scopus.com/inward/record.url?scp=85027463519&partnerID=8YFLogxK
U2 - 10.1109/CNSA.2017.7973926
DO - 10.1109/CNSA.2017.7973926
M3 - Conference contribution
SP - 12
EP - 14
BT - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
A2 - Polyakova, L. N.
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017
Y2 - 22 May 2017 through 27 May 2017
ER -
ID: 7756130