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Continuous-Time Multiobjective Optimization Problems via Invexity

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  • Valeriano A. De Oliveira
  • Marko A. Rojas-Medar

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.

Suggested Citation

  • Valeriano A. De Oliveira & Marko A. Rojas-Medar, 2007. "Continuous-Time Multiobjective Optimization Problems via Invexity," Abstract and Applied Analysis, Hindawi, vol. 2007, pages 1-11, February.
    • Handle: RePEc:hin:jnlaaa:061296
    DOI: 10.1155/2007/61296
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