The lower semi-continuity of a class of functions in nonsmooth critical point theory;
非光滑临界点理论中一类函数的下半连续性
In the lower semi-continuity,this essay provide one plenty condition about a fuzzy sets is preinvex fuzzy sets,then proved it.
在下半连续的条件下,给出了一个模糊集是预不变凸模糊集的充分条件,并将模糊凸集上相关性质在模糊不变凸集上作了相应的推广。
This approach fully used result: There is minimizer in fuzzy sets of lower semi-continuity ,but not the traditional way of to argue about the fuzzy convexity,it combined research of fuzzy convexity and the relation contents of traditional analysis as a unity.
用一种新的更传统的方法证明了在下半连续的条件下模糊凸性的两个充分条件。