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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 62, 2013 - Issue 6: Operations Research and Optimization (ORO)
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Articles

Nonsmooth multiobjective programming and constraint qualifications

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Pages 783-795 | Received 24 Aug 2011, Accepted 21 Mar 2012, Published online: 04 May 2012
 

Abstract

We consider a nonsmooth multiobjective programming problem with inequality and set constraints. By using the notion of convexificator, we extend the Abadie constraint qualification, and derive the strong Kuhn-Tucker necessary optimality conditions. Some other constraint qualifications have been generalized and their interrelations are investigated.

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Acknowledgements

The second author was partially supported by the Center of Excellence for Mathematics, University of Shahrekord, Iran.

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