Second-order growth, tilt stability, and metric regularity of the subdifferential
Optimization and Control
2013-04-30 v1
Abstract
This paper sheds new light on several interrelated topics of second-order variational analysis, both in finite and infinite-dimensional settings. We establish new relationships between second-order growth conditions on functions, the basic properties of metric regularity and subregularity of the limiting subdifferential, tilt-stability of local minimizers, and positive-definiteness/semidefiniteness properties of the second-order subdifferential (or generalized Hessian).
Keywords
Cite
@article{arxiv.1304.7385,
title = {Second-order growth, tilt stability, and metric regularity of the subdifferential},
author = {D. Drusvyatskiy and B. S. Mordukhovich and T. T. A. Nghia},
journal= {arXiv preprint arXiv:1304.7385},
year = {2013}
}
Comments
23 pages