Second-order symmetric duality in multiobjective variational problems

Geeta Sachdev; Khushboo Verma; T.R. Gulati

doi:10.2298/YJOR180715019S

Authors

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

DOI:

https://doi.org/10.2298/YJOR180715019S

Keywords:

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

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.

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Second-order symmetric duality in multiobjective variational problems

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