摘要
本文给出了预拟不变单调函数的定义，提出了不变凸点到集映射、不变四点到集映射的新概念，得到了不变凸点到集映射的一个充分必要条件，研究了参数非线性规划中最优值函数的预不变凸凹性．
The definition of prequasi- inmonotonic function is given. The new concepts of an invex point-to-set map and an incave point-to-set map are presented. A necessary and sufficient condition of invex point-to-set mappings is obtained. Preinvexity and preincavity properties of the optimal value function in parametric nonlinear programming are studied.
出处
《运筹学学报》
CSCD
2000年第4期12-20,共9页
Operations Research Transactions
基金
This research was supported by the Natural Science Foundation of Shanxi Province(98SL07) and theScience Foundation of Shanxi P
关键词
参数规划
最优值函数
预不变凸性
非线性规划
Parametric programming, optimal value function, preinvex function, invex point-to-set mapping0
