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Second-order symmetric duality in multiobjective variational problems

Sachdev Geeta (Department of Applied Sciences and Humanities, Indira Gandhi Delhi Technical University for Women, Delhi, India)
Verma Khushboo (Department of Applied Sciences and Humanities, Faculty of Engineering, University of Lucknow, New Campus, Lucknow, India)
Gulati T.R. (Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India)

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