1) upper star-continuous
上半*连续
2) upper semicontinuous
上半连续
1.
According to the extensive theory of topological degree for set-valued mapping ,the authors derive the topological degree for upper semicontinuous set-valued 1-set-contractive mapping.
由集值映射的拓扑度延拓理论,推导出了上半*连续集值1-集压缩映射的拓扑度。
2.
In this paper,we prove the following theorem:(1)There exist fixed-sets of upper semicontinuous closed-valued correspondences on A_1 and T_I countably compact spaces;(2)There exist fixed-sets of uppersemicontinuous closed-set correspondences on T_1 countably compact spaces.
证明了 A_1可数紧 T_2 空间 X 上的上半*连续闭值对应存在不变可数紧子集,T_1可数紧空间 X 上的上半*连续闭集对应存在不变可数紧子集。
3) upper semi-continuous
上半连续
1.
This paper considers the non-existence of non-trivial upper semi-continuous subadditiveα-positively homogeneous functionals defined on S(Ω,∑,μ) and Lβ(Ω,∑,μ).
本文得到了S(Ω,∑,μ)和Lβ(Ω,∑,μ)分别不存在非零的上半*连续、次加、α-正齐性泛函(分别有0<α≤1和β<α≤1)的充要条件。
4) upper semicontinuity
上半连续
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。
2.
The close property and the upper semicontinuity property of the solution set for perturbed generalized vector equilibrium problems are also established.
通过运用Fan-Browder不动点定理及FKKM定理,证明了一类广义向量平衡问题(GVEP)解的存在性,推广和改进了Fu-Wan在广义集值映射向量平衡问题中的相关研究成果,并进一步研究了一类(GVEP)解集的闭性及上半*连续性。
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
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条