1) 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。
2) 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。
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。
6) upper star-continuous
上半*连续
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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