The Kuhn-Tucker's theorem for inequalities in infinite dimension

It is intended, in this work, to present the Kuhn-Tucker theorem with the consideration of infinite inequalities. So the mathematical fundaments of this result, not so important in Mathematical Programming but a very challenging problem from the mathematical point of view, are presented in a very si...

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Bibliographic Details
Main Author: Ferreira, M. A. M. (author)
Other Authors: Filipe, J. A. (author), Andrade, M. (author)
Format: article
Language:eng
Published: 2017
Subjects:
Online Access:https://ciencia.iscte-iul.pt/id/ci-pub-770
Country:Portugal
Oai:oai:repositorio.iscte-iul.pt:10071/13590
Description
Summary:It is intended, in this work, to present the Kuhn-Tucker theorem with the consideration of infinite inequalities. So the mathematical fundaments of this result, not so important in Mathematical Programming but a very challenging problem from the mathematical point of view, are presented in a very simple way. It is shown how this result can be obtained in the context of real Hilbert spaces using the separation theorems.