Error Bounds and Metric Subregularity
Optimization and Control
2015-01-20 v1
Abstract
Necessary and sufficient criteria for metric subregularity (or calmness) of set-valued mappings between general metric or Banach spaces are treated in the framework of the theory of error bounds for a special family of extended real-valued functions of two variables. A classification scheme for the general error bound and metric subregularity criteria is presented. The criteria are formulated in terms of several kinds of primal and subdifferential slopes.
Cite
@article{arxiv.1405.1130,
title = {Error Bounds and Metric Subregularity},
author = {Alexander Y. Kruger},
journal= {arXiv preprint arXiv:1405.1130},
year = {2015}
}
Comments
32 pages