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Optimality Conditions and Second-Order Duality for Nondifferentiable Multiobjective Continuous Programming Problems

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DOI: 10.4236/ajor.2012.24063    4,293 Downloads   6,776 Views   Citations

ABSTRACT

Fritz John and Karush-Kuhn-Tucker type optimality conditions for a nondifferentiable multiobjective variational problem are derived. As an application of Karush-Kuhn-Tucker type optimality conditions, Mond-weir type second-order nondifferentiable multiobjective dual variational problems is constructed. Various duality results for the pair of Mond-Weir type second-order dual variational problems are proved under second-order pseudoinvexity and second-order quasi-invexity. A pair of Mond-Weir type dual variational problems with natural boundary values is formulated to derive various duality results. Finally, it is pointed out that our results can be considered as dynamic generalizations of their static counterparts existing in the literature.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

I. Husain and V. Jain, "Optimality Conditions and Second-Order Duality for Nondifferentiable Multiobjective Continuous Programming Problems," American Journal of Operations Research, Vol. 2 No. 4, 2012, pp. 536-545. doi: 10.4236/ajor.2012.24063.

References

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