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The Hahn-Banach Theorem in Convex Optimization
Document Title
EasyChair Preprint Nº 7928
Year (definitive publication)
2022
Language
English
Country
United Kingdom
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Abstract
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.
Acknowledgements
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Keywords
convex programming,Hahn-Banach theorem,minimax theorem,Separation Theorems
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Physical Sciences - Natural Sciences
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