English

Optimality conditions at infinity for nonsmooth minimax programming

Optimization and Control 2024-05-17 v1

Abstract

This paper is devoted to study of optimality conditions at infinity in nonsmooth minimax programming problems and applications. By means of the limiting subdifferential and normal cone at infinity, we dirive necessary and sufficient optimality conditions of Karush--Kuhn--Tucker type for nonsmooth minimax programming problems with constraint. The obtained results are applied to a nonsmooth vector optimization problem.

Keywords

Cite

@article{arxiv.2405.09869,
  title  = {Optimality conditions at infinity for nonsmooth minimax programming},
  author = {Nguyen Van Tuyen and Kwan Deok Bae and Do Sang Kim},
  journal= {arXiv preprint arXiv:2405.09869},
  year   = {2024}
}

Comments

18 pages

R2 v1 2026-06-28T16:29:08.657Z