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 |
|---|---|
| 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
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