## Abstract and Applied Analysis

### Continuous-Time Multiobjective Optimization Problems via Invexity

#### Abstract

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2007 (2007), Article ID 61296, 11 pages.

Dates
First available in Project Euclid: 27 February 2008

https://projecteuclid.org/euclid.aaa/1204126584

Digital Object Identifier
doi:10.1155/2007/61296

Mathematical Reviews number (MathSciNet)
MR2283963

Zentralblatt MATH identifier
1180.90286

#### Citation

De Oliveira, Valeriano A.; Rojas-Medar, Marko A. Continuous-Time Multiobjective Optimization Problems via Invexity. Abstr. Appl. Anal. 2007 (2007), Article ID 61296, 11 pages. doi:10.1155/2007/61296. https://projecteuclid.org/euclid.aaa/1204126584

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