Content: In this paper, we study some mapping properties of semicontinuous lattices and semialgebraic lattices, discuss a function space of strongly continuous lattices and give an embedding theorem of strongly continuous lattices. 本文研究了半连续格及半代数格上一些映射性质,讨论了强连续格的函数空间,给出了强连续格的嵌入定理;
The paper investigates normal cone of set and the maximality of sums of monotone mappings and subdifferential of lower semicontinuous function in a real locally convex space. Meanwhile it also considers the maximality of cyclic monotone set-valued mappings. 研究局部凸空间凸集的法向锥及单调映射与下半连续凸函数的次微分之和的单调极大性.并讨论集值映射循环单调的极大性。
Generic continuity of semicontinuous function 半连续函数的通有连续性