In the present paper, we introduce a pair of multiobjective second-order symmetric variational control programs over cone constraints and derive weak, strong and converse duality theorems under second-order F-convexity assumption. Moreover, self-duality theorem is also discussed. Our results extend some of the known results in literature.
Bibliographical noteFunding Information:
The first author thanks to SERB-DST, New Delhi, India for the financial support under the fast track Project SR/FTP/MS-007/2011. The authors are highly grateful to the reviewers for their careful reading and suggestions leading to the improved version of the original draft.
© 2018 World Scientific Publishing Co.
- Multiobjective programming
- efficient solutions
- second-order F-convexity
- variational control problems
ASJC Scopus subject areas
- Management Science and Operations Research