Second-order conditions in extremal problems. The abnormal points

In this paper we study a minimization problem with constraints and obtain first- and second-order necessary conditions for a minimum. Those conditions -as opposed to the known ones -are also informative in the abnormal case. We have introduced the class of 2-normal constraints and shown that for them the "gap" between the sufficient and the necessary conditions is as minimal as possible. It is proved that a 2-normal mapping is generic. ©1998 American Mathematical Society.

Authors
Editors
-
Publisher
-
Number of issue
11
Language
English
Pages
4341-4365
Status
Published
Department
-
DOI
-
Number
-
Volume
350
Year
1998
Organizations
  • 1 Department of Differentional Equations and Functional Analysis Peoples Friendship, University of Russia, Mikluka-Maklai, 6, Moscow 117198, Russian Federation
Keywords
2-normal mapping; Abnormal point; Index of quadratic form; Lagrange multipliers; Second-order necessary conditions
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/619/