Abstract
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 language | English |
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Pages (from-to) | 479-495 |
Number of pages | 17 |
Journal | Bulletin of the Malaysian Mathematical Sciences Society |
Volume | 44 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2021 |
Bibliographical note
Publisher Copyright:© 2020, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.
Keywords
- Duality theorems
- Higher-order invexity/generalized invexity
- Higher-order symmetric duality
- Multiobjective programming
ASJC Scopus subject areas
- General Mathematics