Tambov University Reports. Series: Natural and Technical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Russian Universities Reports. Mathematics:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 124, Pages 824–837
DOI: https://doi.org/10.20310/1810-0198-2018-23-124-824-837 (Mi vtamu26) 		 
On some properties of quasi convex functions and sets

R. A. Khachatryan

Yerevan State University
Full-text PDF (176 kB)
References:
PDF
HTML
DOI: https://doi.org/10.20310/1810-0198-2018-23-124-824-837
Abstract: The connection between quasi convexity and proximal smoothness (also known as low $C^2$ property) of functions is verified. For compact sets, it is proved that the properties of quasi convexity and proximal smoothness are equivalent. The Bouligand cones of tangent directions for the sets that are defined by convex functions are constructed.
Keywords: multi-valued map, quasi convex set, star set, proximal smooth set, low $C^2$ property, tangent cone.
Received: 19.04.2018
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: R. A. Khachatryan, “On some properties of quasi convex functions and sets”, Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018), 824–837
Citation in format AMSBIB
\Bibitem{Kha18}
\by R.~A.~Khachatryan
\paper On some properties of quasi convex functions and sets
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 124
\pages 824--837
\mathnet{http://mi.mathnet.ru/vtamu26}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-124-824-837}
\elib{https://elibrary.ru/item.asp?id=36239274}
Linking options:
  • https://www.mathnet.ru/eng/vtamu26
  • https://www.mathnet.ru/eng/vtamu/v23/i124/p824
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Russian Universities Reports. Mathematics
    Statistics & downloads:
    Abstract page:90
    Full-text PDF :47
    References:27
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024