Journal of the Operations Research Society of China

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On Nondifferentiable Higher-Order Symmetric Duality in Multiobjective Programming Involving Cones

  

  • Online:2013-12-30 Published:2013-12-30

Abstract:

In this paper, we point out some deficiencies in a recent paper (Lee and
Kim in J. Nonlinear Convex Anal. 13:599–614, 2012), and we establish strong duality
and converse duality theorems for two types of nondifferentiable higher-order
symmetric duals multiobjective programming involving cones.

Key words: Multiobjective programming , Higher-order Mond–Weir symmetric dual
model ,
Higher-order Wolfe symmetric dual model , Strong duality theorems , Converse duality theorems , Nondifferentiability