English

On the multiplier rules

Optimization and Control 2014-09-09 v1

Abstract

We establish new results of first-order necessary conditions of optimality for finite-dimensional problems with inequality constraints and for problems with equality and inequality constraints, in the form of John's theorem and in the form of Karush-Kuhn-Tucker's theorem. In comparison with existing results we weaken assumptions of continuity and of differentiability.

Keywords

Cite

@article{arxiv.1409.2087,
  title  = {On the multiplier rules},
  author = {Joël Blot},
  journal= {arXiv preprint arXiv:1409.2087},
  year   = {2014}
}

Comments

9 pages

R2 v1 2026-06-22T05:50:30.328Z