On an exact penality result and new constraint qualifications for mathematical programs with vanishing constraints

Authors

  • Triloki Nath Department of Mathematics and Statistics, Dr. Harisingh Gour Vishwavidyalaya, Sagar, India
  • Abeka Khare Department of Mathematics and Statistics, Dr. Harisingh Gour Vishwavidyalaya, Sagar, India

DOI:

https://doi.org/10.2298/YJOR180615018N

Keywords:

mathematical programs with vanishing constraints, enhanced Fritz John conditions, constraint qualifications, error bound

Abstract

In this paper, we considered the mathematical programs with vanishing constraints or MPVC. We proved 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.

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Published

2019-08-01

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Section

Research Articles