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ERROR BOUNDS IN METRIC SPACES AND APPLICATION TO THE PERTURBATION STABILITY OF METRIC REGULARITY.
- Source :
- SIAM Journal on Optimization; 2008, Vol. 19 Issue 1, p1-20, 20p
- Publication Year :
- 2008
-
Abstract
- This paper was motivated by the need to establish some new characterizations of the metric regularity of set-valued mappings. Through these new characterizations it was possible to investigate the global/local perturbation stability of the metric regularity and to extend a result by Ioffe [Set-Valued Anal., 9 (2001), pp. 101-109] on the perturbation stability of the global metric regularity when the image space is not necessarily complete. It was also possible to give a characterization of the local metric regularity and to derive a local version of the perturbation stability of the metric regularity. In this work we also describe an application of this perturbation stability and give a simple proof of a result on the error bound of 2-regular mappings established by Izmailov and Solodov [Math. Program., 89 (2001), pp. 413-435] and generalized by He and Sun [Math. Oper. Res., 30 (2005), pp. 701-717]. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10526234
- Volume :
- 19
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 30095136
- Full Text :
- https://doi.org/10.1137/060675721