Revisiting the Hahn-Banach Theorem and Nonlinear Infinite Programming
Functional Analysis
2017-04-24 v2
Abstract
[REVISED VERSION] The aim of this paper is to state a sharp version of the K\"onig supremum theorem, an equivalent reformulation of the Hahn--Banach theorem. We apply it to derive statements of the Lagrange multipliers, Karush-Kuhn-Tucker and Fritz John type, for nonlinear infinite programs. We also show that a weak concept of convexity coming from minimax theory, infsup-convexity, is the adequate one for this kind of results.
Cite
@article{arxiv.1610.00885,
title = {Revisiting the Hahn-Banach Theorem and Nonlinear Infinite Programming},
author = {P. Montiel Lopez and M. Ruiz Galan},
journal= {arXiv preprint arXiv:1610.00885},
year = {2017}
}
Comments
Revised version