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2007 Continuous-Time Multiobjective Optimization Problems via Invexity
Valeriano A. De Oliveira, Marko A. Rojas-Medar
Abstr. Appl. Anal. 2007: 1-11 (2007). DOI: 10.1155/2007/61296


We introduce some concepts of generalized invexity for the continuous-time multiobjective programming problems, namely, the concepts of Karush-Kuhn-Tucker invexity and Karush-Kuhn-Tucker pseudoinvexity. Using the concept of Karush-Kuhn-Tucker invexity, we study the relationship of the multiobjective problems with some related scalar problems. Further, we show that Karush-Kuhn-Tucker pseudoinvexity is a necessary and suffcient condition for a vector Karush-Kuhn-Tucker solution to be a weakly efficient solution.


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Valeriano A. De Oliveira. Marko A. Rojas-Medar. "Continuous-Time Multiobjective Optimization Problems via Invexity." Abstr. Appl. Anal. 2007 1 - 11, 2007.


Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1180.90286
MathSciNet: MR2283963
Digital Object Identifier: 10.1155/2007/61296

Rights: Copyright © 2007 Hindawi

Vol.2007 • 2007
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