Sufficient Conditions for Error Bounds and Applications

By P. Bosch, Abderrahim Jourani, René Henrion. 2004

56 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/38e10a209570913112fafefed490fcf4b7f975a7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Alexander Y. Kruger
2. René Henrion
3. Jirí Vladimír Outrata
4. Marian J. Fabian
5. Stephan Dempe

In Control and Systems Engineering

1. Alexander Y. Kruger
2. Jirí Vladimír Outrata
3. René Henrion
4. Marian J. Fabian
5. Stephan Dempe

Citations in the corpus

• On relaxed constant rank regularity condition in mathematical programming (2011, background): “Note that the R-regularity (or the error bound property) actually is closely related to the concept of calmness for multifunctions which plays a key role in the analysis of Lipschitz properties for multifunctions (see [3,6,19] and references therein).”
• Error Bounds: Necessary and Sufficient Conditions (2010, background): “) or in the dual space (subdifferentials, normal cones) [4, 23, 50, 25, 46, 40, 41, 43, 44, 15, 45, 19, 18, 20, 5, 51, 12, 52].”
• Error bounds and metric subregularity (2014, background): “For metric subregularity and calmness criteria for specific set-valued mappings arising from optimization and variational problems we refer the reader to [10, 40, 43–51] and the references therein.”