Research Article Continuous-Time Multiobjective Optimization Problems via Invexity

نویسندگان

  • Valeriano A. De Oliveira
  • Marko A. Rojas-Medar
  • Nikolaos S. Papageorgiou
چکیده

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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تاریخ انتشار 2007