Stability of Solutions of Piecewise Smooth Constrained Nonlinear Equations

Alexey F. Izmailov ()
Additional contact information
Alexey F. Izmailov: Lomonosov Moscow State University (MSU)

Journal of Optimization Theory and Applications, 2025, vol. 205, issue 2, No 21, 22 pages

Abstract: Abstract The paper deals with stability issues for a given solution of a piecewise smooth constrained equation under the right-hand side perturbations. We provide conditions ensuring such stability subject to large classes of perturbations, making the main accent on the cases when Robinson’s regularity condition can be violated. From a perspective of the existing literature, the main new feature of this work is a combination of reduced (i.e., piecewise) smoothness assumptions with the presence of additional constraints. Applications to reformulations of complementarity systems are also discussed.

Keywords: Constrained equation; Piecewise smooth equation; Complementarity problem; Covering; Stability; Nonisolated solution; Regularity; 2-regularity; 47J05; 47J07; 49J52; 90C33 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-025-02650-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:205:y:2025:i:2:d:10.1007_s10957-025-02650-3

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-025-02650-3

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().