Necessary conditions for an extremum in a mathematical programming problem

For minimization problems with equality and inequality constraints, first-and second-order necessary conditions for a local extremum are presented. These conditions apply when the constraints do not satisfy the traditional regularity assumptions. The approach is based on the concept of 2-regularity; it unites and generalizes the authors' previous studies based on this concept. © Nauka/Interperiodica 2007.

Authors
Avakov E.R.1 , Arutyunov A.V. 2 , Izmailov A.F.3
Journal
Proceedings of the Steklov Institute of Mathematics
Number of issue
1
Language
English
Pages
2-25
Status
Published
Link
External link
DOI
10.1134/S0081543807010014
Volume
256
Year
2007
Organizations
  • 1 Institute of Control Sciences, Russian Academy of Sciences, Profsoyuznaya ul. 65, Moscow, 117997, Russian Federation
  • 2 Peoples' Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 3 Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russian Federation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/3253/
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