# American Institute of Mathematical Sciences

July  2020, 16(4): 1873-1884. doi: 10.3934/jimo.2019033

## Higher-order symmetric duality for multiobjective programming with cone constraints

 1 School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China 2 School of Mathematics and Statistics, Southwest University, Chongqing 400715, China 3 College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China

Received  April 2018 Revised  August 2018 Published  May 2019

In this work, a pair of higher-order symmetric dual multiobjective optimization problems is formulated. Weak, strong and converse duality theorems are established under suitable assumptions. Some examples are also given to illustrate our main results. Furthermore, certain deficiencies in the formulations and the proof of the work of Kassem [Applied Mathematics and Computation, 209 (2009), 405-409] are pointed out.

Citation: Liping Tang, Xinmin Yang, Ying Gao. Higher-order symmetric duality for multiobjective programming with cone constraints. Journal of Industrial & Management Optimization, 2020, 16 (4) : 1873-1884. doi: 10.3934/jimo.2019033
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