Second-order multiobjective symmetric duality involving cone-bonvex functions

作者：Gupta S K^*; Kailey N

来源：Journal of Global Optimization, 2013, 55(1): 125-140.

DOI：10.1007/s10898-012-9878-3

• Multiobjective programming
• Symmetric duality
• K-eta-bonvexity
• Duality theorems
• Efficient solutions

In this paper, a new pair of second-order multiobjective symmetric dual programs over arbitrary cones is formulated and appropriate duality theorems are then established under K-eta-bonvexity assumptions. We identify a function lying exclusively in the class of K-eta-bonvex and not in class of invex function already existing in literature. Self duality is also obtained by assuming the functions involved to be skew-symmetric.

• 出版日期2013-1