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.

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