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The Hahn-Banach Theorem in Convex Optimization

EasyChair Preprint no. 7928

16 pagesDate: May 6, 2022


The main objective of this article is to present the separation theorems, important consequences of the Hahn-Theorem theorem. These results are the fundamentals of the convex optimization mathematical approach. Along this work begin to consider vector spaces, in general, then normed spaces and posteriorly Hilbert spaces. It ends with the presentation of applications of these results in convex programming and in minimax theorem, two important tools in operations research, management and economics, for instance.

Keyphrases: convex programming, Hahn-Banach theorem, minimax theorem, Separation Theorems

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
  author = {Manuel Alberto M. Ferreira},
  title = {The Hahn-Banach Theorem in Convex Optimization},
  howpublished = {EasyChair Preprint no. 7928},

  year = {EasyChair, 2022}}
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