可达到和可逼近总极小点的存在性和最优性

摘要

The concepts of robustness of sets and functions are proposed in view of the theory of integral global minimization.These concepts are generalized,and global minimization of quasi and pseudo upper robust function is investigated in this paper.With the deviation integral optimality condition of global minimum,the existence of accessible minimizer of quasi upper functions and approximatable minimizer of pseudo upper robust function is examined.%针对积分总极值,讨论并拓展了丰满集和丰满函数的概念,研究了拟上丰满和伪上丰满函数的总极值问题.在总极值的变差积分最优性条件下,证明了拟上丰满函数的可达到极小点和伪上丰满函数的可逼近极小点的存在性.