A New Approach on Multiobjective Higher-Order Symmetric Duality Under Cone-Invexity

Khushboo Verma, Jai Prakash Verma*, Izhar Ahmad

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


In this paper, we introduce a new pair of multiobjective higher-order symmetric dual models with cone constraints. Weak, strong and converse duality theorems for a such pair are discussed under higher-order cone-invex functions. Three non-trivial examples are presented to show the uniqueness of higher-order cone-invex function and existence of the multiobjective higher-order symmetric dual model. Several known results are obtained as special cases.

Original languageEnglish
Pages (from-to)479-495
Number of pages17
JournalBulletin of the Malaysian Mathematical Sciences Society
Issue number1
StatePublished - Jan 2021

Bibliographical note

Funding Information:
The third author would like to thank the King Fahd University of Petroleum and Minerals, Saudi Arabia, for providing the financial support under the Internal Research Project No. IN171012. The authors are thankful to referees for their valuable suggestions which improved the results and presentation of this article.

Publisher Copyright:
© 2020, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.


  • Duality theorems
  • Higher-order invexity/generalized invexity
  • Higher-order symmetric duality
  • Multiobjective programming

ASJC Scopus subject areas

  • Mathematics (all)


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