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arXiv · 1610.00885

Revisiting the Hahn-Banach Theorem and Nonlinear Infinite Programming

P. Montiel Lopez·M. Ruiz Galan
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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.

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P. Montiel Lopez, M. Ruiz Galan. 2016-10-04. Revisiting the Hahn-Banach Theorem and Nonlinear Infinite Programming. https://arxiv.org/abs/1610.00885

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