multiobjective nonlinear programming problem
On vector valued variational problems
The authors present Mond-Weir-type second-order duality for a class of vector-valued variational problems in the presence of equality and inequality constraints. In order to relax the second-order invexity requirements on the functions that constitute this pair of second-order dual multiobjective variational problems, under the generalized second-order invexity, various second-order duality results are derived for this pair of multiobjective variational problems. Further, a mixed type second-order duality for this class of multiobjective variational problems is also given. Finally, a relationship between the presented duality results and those of nonlinear multiobjective programming problems is outlined through the pair of second-order multiobjective variational problems with natural boundary values.
scientific article; zbMATH DE number 6367778