Theoretical Mathematics & Applications

On Vector valued Variational Problems

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• Abstract

  A Mond-Weir type second-order dual associated with a class of vector-valued variational problem in the presence of equality and inequality constraints is formulated. Under the generalized second-order invexity, various second-order duality results are derived for this pair of multiobjective variational problems. A mixed type second-order duality for this class of multiobjective variational problems is also presented. Finally, the relationship between our second-order duality results and those of multiobjective nonlinear programming problems is incorporated through the pair of second-order dual multiobjective variational problems with natural boundary values.