Kuhn-Tucker Theorem for Infinite Dimension

EasyChair Preprint 13843

Abstract

This work objective is the presentation of Kuhn-Tucker theorem with the consideration of infinite dimension. So, the mathematical fundaments of this result, not so important in Mathematical Programming but a very challenging problem from the mathematical point of view, are shown in a very simple way. We will see how this result can be obtained in the context of real Hilbert spaces through the separation theorems.

Keyphrases: Hilbert spaces, Kuhn-Tucker Theorem, Separation Theorems, infinite dimension

@booklet{EasyChair:13843,
  author    = {Manuel Alberto M. Ferreira},
  title     = {Kuhn-Tucker Theorem for Infinite Dimension},
  howpublished = {EasyChair Preprint 13843},
  year      = {EasyChair, 2024}}