Robust and continuous metric subregularity for linear inequality systems

J. Camacho (), M. J. Cánovas (), M. A. López () and J. Parra ()
Additional contact information
J. Camacho: Miguel Hernández University of Elche
M. J. Cánovas: Miguel Hernández University of Elche
M. A. López: University of Alicante
J. Parra: Miguel Hernández University of Elche

Computational Optimization and Applications, 2023, vol. 86, issue 3, No 7, 967-988

Abstract: Abstract This paper introduces two new variational properties, robust and continuous metric subregularity, for finite linear inequality systems under data perturbations. The motivation of this study goes back to the seminal work by Dontchev, Lewis, and Rockafellar (2003) on the radius of metric regularity. In contrast to the metric regularity, the unstable continuity behavoir of the (always finite) metric subregularity modulus leads us to consider the aforementioned properties. After characterizing both of them, the radius of robust metric subregularity is computed and some insights on the radius of continuous metric subregularity are provided.

Keywords: Radius of metric subregularity; Linear inequality systems; Calmness; Feasible set mapping; 90C31; 49J53; 15A39; 90C05 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10589-022-00437-0 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:coopap:v:86:y:2023:i:3:d:10.1007_s10589-022-00437-0

Ordering information: This journal article can be ordered from
http://www.springer.com/math/journal/10589

DOI: 10.1007/s10589-022-00437-0

Access Statistics for this article

Computational Optimization and Applications is currently edited by William W. Hager

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