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Duality and Lagrange multipliers for nonsmooth multiobjective programming

Published online by Cambridge University Press:  17 April 2009

Houchun Zhou
Affiliation:
Department of Mathematics, Linyi Teachers College, Linyi 276005, China, e-mail: [email protected], School of Maths and Computer Science, Nanjing Normal University, Nanjing 210097, China, e-mail: [email protected]
Wenyu Sun
Affiliation:
School of Maths and Computer Science, Nanjing Normal University, Nanjing 210097, China
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Without any constraint qualification, the necessary and sufficient optimality conditions are established in this paper for nonsmooth multiobjective programming involving generalised convex functions. With these optimality conditions, a mixed dual model is constructed which unifies two dual models. Several theorems on mixed duality and Lagrange multipliers are established in this paper.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2006

References

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