English

On Characterizations of Metric Regularity of Multi-valued Maps

Functional Analysis 2024-08-05 v1

Abstract

We provide a new proof along the lines of the recent book of A. Ioffe of a 1990's result of H. Frankowska showing that metric regularity of a multi-valued map can be characterized by regularity of its contingent variation - a notion extending contingent derivative.

Keywords

Cite

@article{arxiv.1811.08243,
  title  = {On Characterizations of Metric Regularity of Multi-valued Maps},
  author = {Milen Ivanov and Nadia Zlateva},
  journal= {arXiv preprint arXiv:1811.08243},
  year   = {2024}
}