English

Sufficiency Condition for KKT Points in Non-smooth Analysis

Optimization and Control 2019-02-11 v5

Abstract

In this article we consider a convex feasible set described by inequality constraints that are continuous and not necessarily Lipschitz or convex. We show that if the Slater constraint qualification and a non-degeneracy condition are satisfied, then the Karush-Kuhn-Tucker type optimality condition is both necessary and sufficient. In this way we extend previous results which are proved for Lipschitz and differentiable inequalities.

Keywords

Cite

@article{arxiv.1402.0293,
  title  = {Sufficiency Condition for KKT Points in Non-smooth Analysis},
  author = {S R Pattanaik},
  journal= {arXiv preprint arXiv:1402.0293},
  year   = {2019}
}

Comments

But there are some errors in the main results. Therefore article is withdrawn

R2 v1 2026-06-22T02:59:38.923Z