下半连续性 meaning in English

lower semicontinuity

One of reasons is that there is no topology on closed sets which guarantees the compactness of the minimising sequences and the lower semiconti - nuity of the sdq - 1
原因之一在于不存在关于闭集的拓扑能够保证极小化序列的紧性和s _ d ~ ( q - 1 )的下半连续性。
Criteria were derived for functions to be quasiconvex under lower semicontinuity or upper semicontinuity conditions by mukherjee and yeddy ( ref . l ) . in the first part of this paper , we generalized almost all of the results there
Mukherjee和yeddy在文献[ 1 ]中，分别在函数的下半连续性和上半连续性的条件下，对于函数的各种拟凸性给出了一些判别方法。