1) lower semicontinuous
下半连续
1.
The function is assumed to be lower semicontinuous and bounded from below throughout this papeer.
本文给出了Banach空间中的下半连续且下有界函数存在弱尖最小值点的一个充分条件,并利用 Frechet次微分,给出了Asplund空间中下半连续下有界函数具有弱尖最小值点的充分条件。
2.
This paper shows that lower semicontinuous accretive and monotone operators T cannot be multivalued.
证明下半连续增生和单调映射不可是多值的。
2) lower semicontinuity
下半连续
1.
We also prove its solution set is a closed set,as well as establish the upper semicontinuity property of the solution set for perturbed implict multi-valued vector equilibrium problems and the lower semicontinuity property of the solution set for perturbed equilibrium problems.
在Hausdorff线性拓扑空间中引入和研究了一类多值隐向量平衡问题,通过运用Ky Fan截口定理,证明了其解的存在性,并进一步研究了一类扰动的多值隐向量平衡问题解集的闭性和上半连续性以及另一类扰动的平衡问题解集的下半连续性。
3) lower semi-continuity
下半连续
1.
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
2.
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。
3.
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。
6) weak lower semicontinuous
弱下半连续
1.
economies with finitely or countable infinitely dimensional noncompact strategy spaces and prove the existence of equilibria with the assumption that preference correspondences confined by constraint correspondences are weak lower semicontinuous or 2-lower semicontinuous.
文章进一步研究了这样的抽象经济 ,它具有有限或无限维的非紧的策略空间 ,被约束对应限制下的偏好对应在弱下半连续或 2—下半连续的假设下 ,证明了抽象经济均衡的存在 。
补充资料：半连续分解
半连续分解
semi-continuous decomposition
半连续分解t翎111心阅恤加曰昭d阴n详反tion;肋日lyllenPe-p，朋oep跳6“en”e]，上(下)半连续分解(即详r(fo忧r)se而一eont访uous decomPosition) 一个分解(deComPosition)D，即拓扑空间X的不相交闭覆盖，使得商映射(qUOtieni Inapping)P:X~D是闭(开)的(见开映射(open Tnapping);闭映射(closed mapping)). M.H.B响暇x阳以丽撰自苏华、胡师度译
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参考词条