二阶($F, \alpha,\rho, d,p$) 一致凸性与极小极大分式规划的对偶

Second Order ($F, \alpha,\rho, d,p$)-Univexity and Duality for Minimax Fractional Programming

中文关键词:  二阶($F, \alpha,\rho, d,p$) 一致凸性  极小极大分式规划  二阶对偶  最优性条件.

英文关键词:second order ($F, \alpha,\rho, d,p$)-univexity  minimax fractional programming  second order duality  optimality conditions.

中文摘要:

      本文我们引入一类二阶($F, \alpha,\rho, d,p$) 一致凸函数的概念.考虑了极小极大分式规划问题的两种对偶模型,在相关函数凸性假设条件下得到了相应的对偶定理.

英文摘要:

      In this paper, we introduce a class of generalized second order ($F, \alpha,\rho, d,p$)-univex functions. Two types of second order dual models are considered for a minimax fractional programming problem and the duality results are established by using the assumptions on the functions involved.