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An elementary proof of the Fritz-John and Karush-Kuhn-Tucker conditions in nonlinear programming [An article from: European Journal of Operational Research]
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Book Details
Author(s)
S.I. Birbil, J.B.G. Frenk, G.J. Still
Publisher
Elsevier
ISBN / ASIN
B000PDSPTA
ISBN-13
978B000PDSPT2
Marketplace
India 🇮🇳
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Description
This digital document is a journal article from European Journal of Operational Research, published by Elsevier in 2007. The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser.
Description:
In this note we give an elementary proof of the Fritz-John and Karush-Kuhn-Tucker conditions for nonlinear finite dimensional programming problems with equality and/or inequality constraints. The proof avoids the implicit function theorem usually applied when dealing with equality constraints and uses a generalization of Farkas lemma and the Bolzano-Weierstrass property for compact sets.
Description:
In this note we give an elementary proof of the Fritz-John and Karush-Kuhn-Tucker conditions for nonlinear finite dimensional programming problems with equality and/or inequality constraints. The proof avoids the implicit function theorem usually applied when dealing with equality constraints and uses a generalization of Farkas lemma and the Bolzano-Weierstrass property for compact sets.
