The minimax theorem as Hahn-Banach theorem consequence

The separation concept is essential in convex programming. In particular, the convex sets separation. In this work the Hahn-Banach theorem is presented, with great generality, together with an important separation theorem, its consequence. Then are followed the necessary mathematical steps towards t...

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Bibliographic Details
Main Author: Ferreira, M. A. M. (author)
Format: article
Language:eng
Published: 2015
Subjects:
Online Access:http://hdl.handle.net/10071/9463
Country:Portugal
Oai:oai:repositorio.iscte-iul.pt:10071/9463
Description
Summary:The separation concept is essential in convex programming. In particular, the convex sets separation. In this work the Hahn-Banach theorem is presented, with great generality, together with an important separation theorem, its consequence. Then are followed the necessary mathematical steps towards the minimax theorem, an important result in the applications of Game Theory to economics, finance and management.