Error bounds of regularized gap functions for polynomial variational inequalities
Optimization and Control
2020-03-24 v1
Abstract
This paper is devoted to present new error bounds of regularized gap functions for polynomial variational inequalities with exponents explicitly determined by the dimension of the underlying space and the number/degree of the involved polynomials. The developed techniques are largely based on variational analysis and semialgebraic geometry, which allow us to establish a nonsmooth extension of the seminal \L ojasiewicz's gradient inequality to regularized gap functions with explicitly calculated exponents.
Cite
@article{arxiv.2003.10327,
title = {Error bounds of regularized gap functions for polynomial variational inequalities},
author = {Dinh Bui Van and Tien-Son Pham},
journal= {arXiv preprint arXiv:2003.10327},
year = {2020}
}
Comments
unpublished, 18 pages