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Weakly efficient solutions and pseudoinvexity in multiobjective control problems

✍ Scribed by Manuel Arana-Jiménez; Gabriel Ruiz-Garzón; Rafaela Osuna-Gómez; Antonio Rufián-Lizana

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
342 KB
Volume
73
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we introduce new pseudoinvexity conditions on functionals involved in a multiobjective control problem, called W-KT-pseudoinvexity and W-FJ-pseudoinvexity. We prove that all Kuhn-Tucker or Fritz-John points are weakly efficient solutions if and only if these conditions are fulfilled. We relate weakly efficient solutions to optimal solutions of weighting control problems. We generalize recently obtained optimality results of known mathematical programming problems and control problems. We illustrate these results with an example.

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