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Optimality conditions for vector optimisation with set-valued maps

Published online by Cambridge University Press:  17 April 2009

Yong Wei Huang
Affiliation:
Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, e-mail: [email protected]
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In this paper, we establish a Farkas-Minkowski type alternative theorem under the assumption of nearly semiconvexlike set-valued maps. Based on the alternative theorem and some other lemmas, we establish necessary optimality conditions for set-valued vector optimisation problems with extended inequality constraints in a sense of weak E-minimisers.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2002

References

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