| 具有非紧集的广义双拟变分不等式 |
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| 引用本文： | 李红梅,丁协平. 具有非紧集的广义双拟变分不等式[J]. 四川师范大学学报(自然科学版), 1993, 0(3) |
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| 作者姓名： | 李红梅 丁协平 |
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| 作者单位： | 四川师范大学数学系，四川师范大学数学系 |
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| 摘 要： | Shih-Tan 首先引入和研究了广义双拟变分不等式问题.本文考虑更一般的广义双拟变分不等式,得到了两个具有非紧集的广义双拟变分不等式的解的存在定理,统一和推广了 Shih-Tan 和Zhou-Chen 等人的结果,同时也得到了 Tian-Zhou 的相应结果的修正和推广.
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| 关 键 词： | 拓扑矢量空间 广义双拟变分不等式 广义单调映象 |
GENERALIZED BI-QUASI-VARIATIONAL INEQUALITIES WITH NON-COMPACT SETS |
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| Li Hongmei Ding Xieping. GENERALIZED BI-QUASI-VARIATIONAL INEQUALITIES WITH NON-COMPACT SETS[J]. Journal of Sichuan Normal University(Natural Science), 1993, 0(3) |
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| Authors: | Li Hongmei Ding Xieping |
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| Affiliation: | Department of Mathematics |
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| Abstract: | Shih-Tan first introduced and studied the generalized bi-quasi-variational inequality problem(GBQVIP).Inthis paper,we consider the more general GBQVIPS at first,proving two general existence theorems on solutionsof GBQVIPS with non-compact set.Our theorems unify and generalize the corresponding results of Shih-Tan,Zhou chen and others,and at the same time revise and generalize the corresponding results of Tian-Zhou. |
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| Keywords: | topological vector space generalized bi-quasi-variational inequalities generalized monotone mapping |
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