函数的epi-和lop-收敛性

Epi-and Lop-Convergence of Functions

利用Painleve-Kuratowski关于集列的收敛性研究函数的上图(epi-)收敛性,进而讨论二元函数的lop-收敛性,给出函数的max inf点的特性及其收敛性的有关特征,并对Fanky不等式进行了推广.

Some properties of the epi-convergence on functions are presented with the set-convergence in the Painleve-Kuratowski sense. With the epi-convergence, the lop-convergence for bivariate functions are discussed. The properties of maxinf points and their convergence are shown. The Fanky＇s Inequality is extended.