# American Institute of Mathematical Sciences

July  2011, 7(3): 523-529. doi: 10.3934/jimo.2011.7.523

## On symmetric and self duality in vector optimization problem

 1 Department of Mathematics, Chongqing Normal University, Chongqing 400047

Received  June 2010 Revised  March 2011 Published  June 2011

In this paper, we point out some errors in a recent paper of M.A.E.H.Kassen (Applied Mathematics and Computation 183(2006) 1121-1126). And a pair of the first-order symmetric dual model for vector optimization problem is proposed in this paper. Then, we prove the weak, strong and converse duality theorems for the formulated first-order symmetric dual programs under invexity conditions.
Citation: Xinmin Yang. On symmetric and self duality in vector optimization problem. Journal of Industrial & Management Optimization, 2011, 7 (3) : 523-529. doi: 10.3934/jimo.2011.7.523
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