Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2024, Volume 115, Issue 2, Pages 177–196
DOI: https://doi.org/10.4213/mzm14041 (Mi mzm14041) 		 
On the Second Order Sufficient Optimality Conditions for a Problem of Mathematical Programming

A. V. Arutyunov, S. E. Zhukovskiy

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
Full-text PDF (631 kB) First page
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm14041
Abstract: We consider the constrained optimization problem for a smooth function defined on a Banach space with smooth constraints of equality and inequality type. We show that for this problem, under the known sufficient second-order optimality conditions, the set of Lagrange multipliers can be replaced by a smaller set.
Keywords: mathematical programming problem, Lagrange function, sufficient second-order optimality conditions.
Funding agency Grant number
Russian Science Foundation 20-11-20131
This work was supported by the Russian Science Foundation under grant 20-11-20131, https://rscf.ru/en/project/20-11-20131/.
Received: 23.06.2023
Revised: 03.08.2023
English version:
Mathematical Notes, 2024, Volume 115, Issue 2, Pages 148–163
DOI: https://doi.org/10.1134/S0001434624010140
Bibliographic databases:
Document Type: Article
UDC: 517
MSC: 49K27
Language: Russian
Citation: A. V. Arutyunov, S. E. Zhukovskiy, “On the Second Order Sufficient Optimality Conditions for a Problem of Mathematical Programming”, Mat. Zametki, 115:2 (2024), 177–196; Math. Notes, 115:2 (2024), 148–163
Citation in format AMSBIB
\Bibitem{AruZhu24}
\by A.~V.~Arutyunov, S.~E.~Zhukovskiy
\paper On the Second Order Sufficient Optimality Conditions for a Problem of Mathematical Programming
\jour Mat. Zametki
\yr 2024
\vol 115
\issue 2
\pages 177--196
\mathnet{http://mi.mathnet.ru/mzm14041}
\crossref{https://doi.org/10.4213/mzm14041}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4734351}
\transl
\jour Math. Notes
\yr 2024
\vol 115
\issue 2
\pages 148--163
\crossref{https://doi.org/10.1134/S0001434624010140}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85190875242}
Linking options:
  • https://www.mathnet.ru/eng/mzm14041
  • https://doi.org/10.4213/mzm14041
  • https://www.mathnet.ru/eng/mzm/v115/i2/p177
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024