Stability Analysis for Composite Optimization Problems and Parametric Variational Systems

This paper aims to provide various applications for second-order variational analysis of extended-real-valued piecewise linear functions recently obtained by the authors. We mainly focus here on establishing relationships between full stability of local minimizers in composite optimization and Robinson’s strong regularity of associated (linearized and nonlinearized) KKT systems. Finally, we address Lipschitzian stability of parametric variational systems with convex piecewise linear potentials. © 2016, Springer Science+Business Media New York.

Authors
Mordukhovich B.S. 1, 2 , Sarabi M.E.3
Journal
Journal of Optimization Theory and Applications
Publisher
Kluwer Academic Publishers-Plenum Publishers
Number of issue
2
Language
English
Pages
554-577
Status
Published
Link
External link
DOI
10.1007/s10957-016-1039-2
Volume
172
Year
2017
Organizations
  • 1 Wayne State University, Detroit, MI, United States
  • 2 RUDN University, Moscow, 117198, Russian Federation
  • 3 Miami University, Oxford, OH, United States
Keywords
Full stability of local minimizers; Lipschitzian stability of parametric variational systems; Nondegeneracy; Piecewise linear functions; Second-order subdifferentials; Strong regularity of KKT systems; Variational analysis and optimization
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/5640/
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