http://hdl.handle.net/1765/19255
http://dx.doi.org/10.1016/j.ejor.2006.04.012
series: EI-1441
EI-1441
http://dx.doi.org/10.1016/j.ejor.2006.04.012
series: EI-1441
EI-1441
An elementary proof of the Fritz-John and Karush–Kuhn–Tucker conditions in nonlinear programming
July 2007
Article
volume 180, issue 1 pp 479-484.
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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.
Keywords
Classifications using
Journal of Economic Literature (JEL) Classification System
- O32 : Management of Technological Innovation and R&D
- C61 : Optimization Techniques; Programming Models; Dynamic Analysis
- M : Business Administration and Business Economics; Marketing; Accounting
- L15 : Information and Product Quality; Standardization and Compatibility
