Template-Type: ReDIF-Paper 1.0
Author-Name: Birbil, S.I.
Author-Name-Last: Birbil
Author-Name-First: Ilker
Author-Name: Frenk, J.B.G.
Author-Name-Last: Frenk
Author-Name-First: Hans
Author-Name: Still, G.J.
Author-Name-Last: Still
Title: An Elementary Proof of the Fritz-John and Karush-Kuhn-Tucker Conditions in Nonlinear Programming
Abstract: 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.
Creation-Date: 2005-10-14
File-URL: https://repub.eur.nl/pub/6992/ERS%202005%20057%20LIS.pdf
File-Format: application/pdf
Series: RePEc:ems:eureri
Number: ERS-2005-057-LIS
Classification-JEL: C61, L15, M, O32
Keywords: Fritz-John conditions, Karush-Kuhn-Tucker conditions, nonlinear programming
Handle: RePEc:ems:eureri:6992