Second-order symmetric duality in multiobjective variational problems

Abstract

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 η-bonvexity/η-pseudobonvexity. At the end, the static case of our problems has also been discussed.

Keywords

• multiobjective programming
• variational problem
• second-order duality
• efficient solutions
• η-bonvexity/η-pseudobonvexity