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.
|Number of pages||17|
|Journal||Bulletin of the Malaysian Mathematical Sciences Society|
|State||Published - Jan 2021|
Bibliographical noteFunding 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.
© 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)