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Erschienen in:
2014 | OriginalPaper | Buchkapitel
On a Class of Nondifferentiable Multiobjective Continuous Programming Problems
verfasst von : Iqbal Husain, Vikas Kumar Jain
Erschienen in: Proceedings of the Third International Conference on Soft Computing for Problem Solving
Verlag: Springer India
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Abstract
Fritz John and Karush-Kuhn-Tucker type optimality conditions for a nondifferentiable multiobjective variational problem with equality and inequality constraints are obtained. Using Karush-Kuhn-Tucker type optimality conditions, a Wolfe type second-order nondifferentiable multiobjective dual variational problem is constructed. Various duality results for the pair of Wolfe type second-order dual variational problems are proved under second-order pseudoinvexity. A pair of Wolfe type dual variational problems having equality and inequality constraints with natural boundary values is also formulated to prove various duality results. Finally, the linkage between our results and those of their static counterparts existing in the literature is briefly outlined.