English

Error Bounds and Holder Metric Subregularity

Optimization and Control 2018-03-02 v2

Abstract

The Holder setting of the metric subregularity property of set-valued mappings between general metric or Banach/Asplund spaces is investigated in the framework of the theory of error bounds for extended real-valued functions of two variables. A classification scheme for the general Holder metric subregularity criteria is presented. The criteria are formulated in terms of several kinds of primal and subdifferential slopes.

Keywords

Cite

@article{arxiv.1411.6414,
  title  = {Error Bounds and Holder Metric Subregularity},
  author = {Alexander Y. Kruger},
  journal= {arXiv preprint arXiv:1411.6414},
  year   = {2018}
}

Comments

32 pages. arXiv admin note: substantial text overlap with arXiv:1405.1130

R2 v1 2026-06-22T07:09:41.956Z