Download PDFOpen PDF in browserThe HahnBanach Theorem in Convex OptimizationEasyChair Preprint no. 792816 pages•Date: May 6, 2022AbstractThe main objective of this article is to present the separation theorems, important consequences of the HahnTheorem 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, HahnBanach theorem, minimax theorem, Separation Theorems
