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Continuous-time multiobjective optimization problems via invexity - MaRDI portal

Continuous-time multiobjective optimization problems via invexity (Q2472061)

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Continuous-time multiobjective optimization problems via invexity
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    Continuous-time multiobjective optimization problems via invexity (English)
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    20 February 2008
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    Summary: 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 sufficient condition for a vector Karush-Kuhn-Tucker solution to be a weakly efficient solution.
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    Karush-Kuhn-Tucker invexity
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    Karush-Kuhn-Tucker pseudoinvexity
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