| Banach空间中的广义随机混合似变分不等式问题 |
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| 引用本文： | 韩泽,刘亚平,唐亚勇. Banach空间中的广义随机混合似变分不等式问题[J]. 四川大学学报(自然科学版), 1999, 36(5): 828-833 |
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| 作者姓名： | 韩泽 刘亚平 唐亚勇 |
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| 作者单位： | 四川大学数学学院,四川成都,610064 |
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| 摘 要： | 研究了实可分自反Ｂａｎａｃｈ 空间中的广义随机混合似变分不等式问题，经典变分不等式及其各种各样的推广，都是这种变分不等式问题的特例．利用随机算子和Ｈａｎｓｏｎ 的技巧给出了这类广义随机混合似变分不等式问题的解
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| 关 键 词： | 完备概率测度空间 随机算子 集值可测映象 可测选择 似变分不等式 |
| 修稿时间： | 1999-03-05 |
GENERALIZED RANDOM MIXED VARIATIONAL-LIKE INEQUALITY PROBLEM IN BANACH SPACES |
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| HAN Ze,LIU Ya-ping,TANG Ya-yong. GENERALIZED RANDOM MIXED VARIATIONAL-LIKE INEQUALITY PROBLEM IN BANACH SPACES[J]. Journal of Sichuan University (Natural Science Edition), 1999, 36(5): 828-833 |
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| Authors: | HAN Ze LIU Ya-ping TANG Ya-yong |
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| Abstract: | The authors introduce and study a new class of generalized random nonlinear mixed variational like inequalities in real separable reflexive Banach spaces,which contain the classical variational inequalities and its various generalizations as special cases.And present the solutions of this kind of generalized random nonlinear mixed variational like inequality problem by using random operators and a technique introduced by Hanson. |
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| Keywords: | complete probability measure space random operator multi valued measurable mapping measurable selecter variational like inequality |
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