Robinson Stability of Parametric Constraint Systems via Variational Analysis
Optimization and Control
2016-12-02 v2
Abstract
This paper investigates a well-posedness property of parametric constraint systems named here Robinson stability. Based on advanced tools of variational analysis and generalized differentiation, we derive first-order and second-order conditions for this property under minimal constraint qualifications and establish relationships of Robinson stability with other well-posedness properties in variational analysis and optimization. The results obtained are applied to robust Lipschitzian stability of parametric variational systems.
Cite
@article{arxiv.1609.02238,
title = {Robinson Stability of Parametric Constraint Systems via Variational Analysis},
author = {Helmut Gfrerer and Boris Mordukhovich},
journal= {arXiv preprint arXiv:1609.02238},
year = {2016}
}