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Second-order symmetric duality in multiobjective variational problems. (English) Zbl 1474.90509

Summary: In this work, we introduce a pair of multiobjective second-order symmetric dual variational problems. Weak, strong, and converse duality theorems for this pair are established under the assumption of \(\eta \)-bonvexity/\( \eta \)-pseudobonvexity. At the end, the static case of our problems has also been discussed.

MSC:

90C46 Optimality conditions and duality in mathematical programming
49N15 Duality theory (optimization)
49M29 Numerical methods involving duality
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