English

On Lipschitz-like property for polyhedral moving sets

Optimization and Control 2018-11-14 v1

Abstract

We give sufficient conditions for Lipschitz-likeness of a class of polyhedral set-valued mappings in Hilbert spaces based on Relaxed Constant Rank Constraint Qualification (RCRCQ) proposed recently by Minchenko and Stakhovsky. To this aim we prove the R-regularity of the considered set-valued mapping and correct the respective proof given by these authors.

Keywords

Cite

@article{arxiv.1811.05166,
  title  = {On Lipschitz-like property for polyhedral moving sets},
  author = {Ewa M. Bednarczuk and Krzysztof E. Rutkowski},
  journal= {arXiv preprint arXiv:1811.05166},
  year   = {2018}
}

Comments

12 pages, 9 citations

R2 v1 2026-06-23T05:13:39.458Z