343. Robust and continuous metric subregularity in the radius of stability context
Invited abstract in session TD-3: Variational techniques and subdifferentials, stream Variational analysis: theory and algorithms.
Thursday, 14:10 - 15:50Room: M:J
Authors (first author is the speaker)
| 1. | Jesús Camacho
|
| Center of Operations Research, Miguel Hernández University of Elche |
Abstract
In this talk we introduce the concepts of robust and continuous metric subregularity. Two new variational properties of the feasible set mapping in the (finite) linear inequality systems setup. The motivation of this study goes back to the seminal work by Dontchev, Lewis, and Rockafellar (2003) on the radius of metric regularity. The implications of the unstable continuity behavior of the metric subregularity modulus are reflected in those definitions. A deep study on the stability of the end-set leads to characterizations of both properties. While a explicit formula is given for the radius of robust metric subregularity, only partial progress has been made concerning the radius of continuous metric subregularity.
Keywords
- Semi-infinite optimization
- Linear and nonlinear optimization
- Convex and non-smooth optimization
Status: accepted
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