非线性参数规划问题ε-最优解集集值映射的连续性  

THE CONTINUITY OFε-OPTIMAL SOLUTION SET SET-VALUED MAPPING IN NONLINEAR PARAMETRIC PROGRAMMING PROBLEM

作　　者：霍永亮[1] 刘三阳[2] 

机构地区：[1]重庆文理学院数学与统计学院,永川402160 [2]西安电子科技大学应用数学系,西安710071

出　　处：《系统科学与数学》2009年第6期735-741,共7页Journal of Systems Science and Mathematical Sciences

基　　金：重庆市教委基金(2009KJ091211);重庆文理学院引进人才项目资助。

摘　　要：对非线性参数规划问题ε-最优解集集值映射的连续性条件进行了研究.首先在可行集集值映射局部有界且正则的条件下,讨论了非线性参数规划问题最优值函数的连续性,然后针对ε-最优解集集值映射的结构特征并利用此结果和集值分析理论,给出了非线性参数规划问题ε-最优解集集值映射连续的一个充分条件.The continuity of ε-optimal solution set set-valued mapping in nonlinear parametric programming problem is considered. Firstly, the continuity of optimal value function in nonlinear parametric programming is discussed under the locally bounded and regularity condition of feasible set set-valued mapping. Then based on the construction characteristic of ε-optimal solution set set-valued mapping, a sufficient condition of continuity of ε-optimal solution set set-valued mapping for nonlinear parametric programming is obtained.

关 键 词：非线性参数规划 最优值函数 ε-最优解集 正则条件 连续性 

分 类 号：O221.2[理学—运筹学与控制论]