Journal of Applied Mathematics & Bioinformatics

On Multiobjective Variational Problems with equality and inequality constraints

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  • Abstract

    Fritz John type optimality conditions for a multiobjective variational Problems with equality and inequality constraints are derived by an application of Karush -Kuhn-Tucker type optimality conditions, a Wolfe type second- order dual to this problem is formulated and various duality results are proved under generalized second-order invexity assumptions. A pair of Wolfe type second-order dual multiobjective with natural boundary values is also presented to investigate duality. Finally, it is pointed out that our duality results established in this research can viewed as dynamic generalizations of those of static cases already existing in the literature.