Second-order symmetric duality in variational control problems over cone constraints

Anurag Jayswal*, Shalini Jha, Ashish Kumar Prasad, Izhar Ahmad

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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.

Original languageEnglish
Article number1850028
JournalAsia-Pacific Journal of Operational Research
Issue number4
StatePublished - 1 Aug 2018

Bibliographical note

Funding 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.

Publisher Copyright:
© 2018 World Scientific Publishing Co.


  • Multiobjective programming
  • duality
  • efficient solutions
  • second-order F-convexity
  • variational control problems

ASJC Scopus subject areas

  • Management Science and Operations Research


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