Regularity and Conditioning of Solution Mappings in Variational Analysis
By Asen L. Dontchev, R. Tyrrell Rockafellar. 2004
207 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/98f3e5292643548872d0f4e7897052aed9da8c41
How researchers see this paper
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In Applied Mathematics
- Alexander Y. Kruger
- Jirí Vladimír Outrata
- Francisco J. Aragón Artacho
- Michel H. Geoffroy
- Alexander D. Ioffe
- Asen L. Dontchev
- René Henrion
- Marian J. Fabian
In Computational Theory and Mathematics
- Alexander Y. Kruger
- Francisco J. Aragón Artacho
- Asen L. Dontchev
- Alexander D. Ioffe
- Jirí Vladimír Outrata
- René Henrion
- Michel H. Geoffroy
- Radek Cibulka
In Numerical Analysis
- Alexander Y. Kruger
- Alexander D. Ioffe
- René Henrion
- Radek Cibulka
- Asen L. Dontchev
- Jirí Vladimír Outrata
- Michel H. Geoffroy
- Francisco J. Aragón Artacho
Citations in the corpus
- Error Bounds: Necessary and Sufficient Conditions (2010, background): “Later it was generalized in [16] to constraints of the form”
- Characterization of Metric Regularity of Subdifferentials (2008, background): “Moreover, it is worth noting that the subregularity of a set-valued mapping F at x̄ for ȳ is equivalent to the calmness of its inverse F−1 at ȳ for x̄, see [14], where the constant κ in (2.”
- Strong metric subregularity of mappings in variational analysis and optimization (2017, background): “The name “strong metric subregularity” was first used in [14] where its equivalence with the isolated calmness was proved.”
- ABOUT STATIONARITY AND REGULARITY IN VARIATIONAL ANALYSIS (2009, background): “This very useful property was felicitously coined by Dontchev and Rockafellar [13] as 520 subregularity.”
- On Metric and Calmness Qualification Conditions in Subdifferential Calculus (2008, background): “In [13] this property was called “regularity at a point” and the terminology “metric subregularity” was suggested in [4].”
- Error Bounds and Hölder Metric Subregularity (2014, unknown): “The interested reader is referred to [1, 9, 10,19–21,26,33,43,48–51].”