一类多目标广义分式规划问题的最优性条件和对偶

Optimality and duality for a class of multiobjective generalized fractional programming problems

研究了一类不可微多目标广义分式规划问题.首先,在广义Abadie约束品性条件下,给出了其真有效解的Kuhn-Tucker型必要条件.随后,在(C,α,ρ,d)-凸性假设下给出其真有效解的充分条件.最后,在此基础上建立了一种对偶模型,证明了对偶定理.得到的结果改进了相关文献中的相应结论.

In this paper, we consider a class of nondifferentiable multiobjective generalized fractional programming problems. We present the Kuhn-Tucker type necessary condition for properly efficient solution, under the assumption of a kind of generalized Abadie constraint qualification. And then, the Kuhn-Tucker type sufficient condition for properly efficient solution is given under the assumptions of （C, a, p, d）-convex function. Subsequently, we apply these optimality conditions to formulate a kind of duality model and duality theorems are proved. The results extend and improve some of the existence results in relative articles.