Stability Analysis for Composite Optimization Problems and Parametric Variational Systems
Optimization and Control
2016-08-23 v1
Abstract
This paper aims to provide various applications for second-order variational analysis of extended-real-valued piecewise liner functions recently obtained in [1]. We mainly focus here on establishing relationships between full stability of local minimizers in composite optimization and Robinson's strong regularity of associated (linearized and nonlinearized) KKT systems. Finally, we address Lipschitzian stability of parametric variational systems with convex piecewise linear potentials.
Cite
@article{arxiv.1608.06226,
title = {Stability Analysis for Composite Optimization Problems and Parametric Variational Systems},
author = {B. S. Mordukhovich and M. E. Sarabi},
journal= {arXiv preprint arXiv:1608.06226},
year = {2016}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1507.05350