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1)  approximate upper semi continuity
近似上半连续性
2)  approximate lower semi continuity
近似下半连续性
3)  approximate continuity
近似连续性
1.
The measurability,approximate continuity and differentiability of primitives for the fuzzy-valued functions;
模糊数值函数的可测性、近似连续性及积分原函数的可导性
4)  approximately semicontinuous
近似半连续的
5)  approximately upper continuous
近似上连续的
6)  upper semicontinuity
上半连续性
1.
In terms of the method of scalar assignment,the partly upper semicontinuity of cone efficient solution in infinite dimensional normed spaces is investigated by using the upper semicontinuity of cone positive proper efficient solution,and the generic stability of cone efficient solution is proved.
运用标量化的方法,通过锥正定真有效解的上半连续性讨论了无限维赋范空间中锥有效解的部分上半连续性,证明了锥有效解的通有稳定性。
2.
In the paper,using the method of scalar assignment,we study upper semicontinuity of the general additive solution in infinite dimensional normed spaces by substitute the bounded linear functional in the infinite dimensional vector space for weight in common sense.
作者运用标量化的方法,利用无限维赋范空间中的有界线性泛函代替通常意义下的权重,讨论了无限维赋范空间中广义加权解的上半连续性。
3.
After that,in the Hausdorff topological vector space,the sufficient conditions for the upper semicontinuity of the solution set mapping for the parametric set-valued strong vector equilibrium problems are established.
而后在Hausdorff拓扑向量空间中给出了参数集值强向量均衡问题解映射的上半连续性的充分条件,最后,在赋范线性空间中给出了参数集值强向量均衡问题解映射的下半连续性的充分条件。
补充资料:近似连续性


近似连续性
approximate continuity

近似连续性【aPpro万mate continulty;..甲邢,砚ar~I.eupep‘.曰oc几] 连续性概念的一种推广,其中普通极限用近似极限(aPproximate limit)代替.函数f(x)称为在点x。是近似连续的(approximately continuous),是指 lim aPf(x)=f(x。)· X弓xo在最简单的情形,f(x)是n维Euclid空间上的实值函数(一般地,它是向量值函数).下面的定理成立.1)实值函数f(x)在集E上Lebesgue可测的充要条件是,f在E上几乎处处近似连续(见C代naHoB一Denjoy定理(Stepanov一Denjoy theorem)).2)对于任意的有界Lebesgue可测函数f(x),在它的每个近似连续点x。,下式成立: 。:去~lf(二)J;一f(二。), 两风R)穿‘”’一尸其中拜是n维Lebesgue测度,R是包含x。的非退化的n维线段,而p为它的直径.【补注】有关其他参考文献,见近似极限(approximatelimit).
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