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The Strictly Efficient Subgradient of Set-Valued Optimisation

Published online by Cambridge University Press:  17 April 2009

Taiyong Li  and
Yihong Xu
Taiyong Li
Affiliation:
Department of Mathematics, Nanchang University, Nanchang 330031, China
Yihong Xu
Affiliation:
Department of Mathematics, Nanchang University, Nanchang 330031, China
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The subgradient, under strict efficiency, of a set-valued mapping is developed, and the existence of the subgradient is proved. Optimality conditions in terms of Lagrange multipliers for a strictly efficient point are established in the general case and in the case with ic-cone-convexlike data.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 75 , Issue 3 , June 2007 , pp. 361 - 371
Copyright
Copyright © Australian Mathematical Society 2007

References

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