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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 10, Pages 73–76 (Mi ivm8840)  
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

Sets convex in a cone of directions

M. A. Sevodin

Chair of Applied Mathemaics, State National Research Polytechnical University of Perm, 29 Komsomol'skii Ave., Perm, 614990 Russia
Full-text PDF (144 kB) Citations (4)
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Abstract: We consider sets which are convex in directions from some cone $K$. We generalize some well-known properties of ordinary convex sets for the case of $K$-convex sets and give some applications in optimization theory.
Keywords: $K$-convex sets, separability, cones, convex hull.
Presented by the member of Editorial Board: I. V. Konnov
Received: 29.12.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 10, Pages 62–64
DOI: https://doi.org/10.3103/S1066369X13100083
Bibliographic databases:
Document Type: Article
UDC: 519.81
Language: Russian
Citation: M. A. Sevodin, “Sets convex in a cone of directions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 10, 73–76; Russian Math. (Iz. VUZ), 57:10 (2013), 62–64
Citation in format AMSBIB
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\by M.~A.~Sevodin
\paper Sets convex in a~cone of directions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 10
\pages 73--76
\mathnet{http://mi.mathnet.ru/ivm8840}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 10
\pages 62--64
\crossref{https://doi.org/10.3103/S1066369X13100083}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84885591884}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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