International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 9, Pages 617-625
doi:10.1155/S0161171200002647
Symmetric duality for a class of multiobjective programming
Xinmin Yang1
, Shouyanc Wang2
and Duan Li3
1Department of Mathematics, Chongqing Normal University, Chongqing 400047, China
2Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China
3Department of System Engineering and Engineering Management, Chinese University of Hong Kong, Shatin, N.T., Hong Kong
Abstract
We formulate a pair of symmetric dual nondifferentiable multiobjective programming and establish appropriate duality theorems. We also show that differentiable and nondifferentiable analogues of several pairs of symmetric dual problems can be obtained as special cases of our general symmetric programs.