Probability in the Engineering and Informational Sciences.
Cambridge University Press.
Vol. 31.
2017.
P. 413-419
Extremality of convex sets with some applications
In this paper we introduce an enhanced notion of extremal systems for sets in locally convex topological vector spaces and obtain efficient conditions for set extremality in the convex case. Then we apply this machinery to deriving new calculus results on intersection rules for normal cones to convex sets and on infimal convolutions of support functions. © 2017, Springer-Verlag Berlin Heidelberg.
Authors
Mordukhovich B.S.
1,
2
,
Nam N.M.3
Journal
Number of issue
7
Language
English
Pages
1201-1215
Status
Published
Link
Volume
11
Year
2017
Organizations
- 1 Department of Mathematics, Wayne State University, Detroit, MI 48202, United States
- 2 RUDN University, Moscow, 117198, Russian Federation
- 3 Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, OR 97207, United States
Keywords
Convex and variational analysis; Extremal systems of sets; Infimal convolutions; Normal intersection rules; Normals to convex sets; Support functions
Date of creation
19.10.2018
Date of change
19.10.2018
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Other records
Russian Journal of Mathematical Physics.
Vol. 24.
2017.
P. 426-435