New bifurcation theorems via the second-order optimality conditions

We derive new sufficient conditions for bifurcation relying on subtle second-order necessary optimality conditions for abnormal equality-constrained optimization problems. We relate these conditions to the known ones, and demonstrate the cases when the new conditions are easier to verify. © 2009 Elsevier Inc. All rights reserved.

Authors
Arutyunov A.V. 1 , Izmailov A.F.2 , Jaćimović V.3
Journal
Journal of Mathematical Analysis and Applications
Publisher
Academic Press Inc.
Number of issue
2
Language
English
Pages
752-764
Status
Published
Link
External link
DOI
10.1016/j.jmaa.2009.06.037
Volume
359
Year
2009
Organizations
  • 1 Peoples Friendship University, Miklukho-Maklaya Str. 6, 117198 Moscow, Russian Federation
  • 2 Moscow State University, Faculty of Computational Mathematics and Cybernetics, Department of Operations Research, Leninskiye Gori, GSP-2, 119992 Moscow, Russian Federation
  • 3 Faculty of Natural Sciences, University of Montenegro, Cetinjski put bb, 81000 Podgorica, Montenegro, Montenegro
Keywords
2-normality; Bifurcation; Constant solution; Constrained optimization; Parametric nonlinear equation; Second-order optimality conditions
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/2891/
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