English

On an Exact Penalty Result and New Constraint Qualifications for Mathematical Programs with Vanishing Constraints

Optimization and Control 2018-06-11 v2

Abstract

In this paper, the mathematical programs with vanishing constraints or MPVC are considered. We prove that an MPVC-tailored penalty function, introduced in [5], is still exact under a very weak and new constraint qualification. Most importantly, this constraint qualification is shown to be strictly stronger than MPVC-Abadie constraint qualification.

Keywords

Cite

@article{arxiv.1806.00632,
  title  = {On an Exact Penalty Result and New Constraint Qualifications for Mathematical Programs with Vanishing Constraints},
  author = {Triloki Nath and Abeka Khare},
  journal= {arXiv preprint arXiv:1806.00632},
  year   = {2018}
}