| 拓扑型极大极小定理和抽象B-H-S变分不等式 |
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| 引用本文： | Wang Dacheng. 拓扑型极大极小定理和抽象B-H-S变分不等式[J]. 大学数学, 1998, 0(2) |
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| 作者姓名： | Wang Dacheng |
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| 作者单位： | 重庆交通学院计算机系 |
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| 摘 要： | 本文中证明了区间空间中几个新型的极大极小定理，并研究了抽象形式变分不等式和集值ＢＨＳ变分不等式解的存在性问题．本文的结果包含［１，２，５，７，８］中相应结果为特例．
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| 关 键 词： | 区间空间 拟凸（凹）映射 W-凸集 W-紧集 变分不等式 |
Topological Minimax Theorems and AbstractlyBHS Variational Inequalities |
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| Abstract: | In this paper, some new types of minimax theorems are proved in interval spaces, and the existence problems of solutions for abstractly variational inequalities and set valued BHS variational inequalities are studied. THe results presented in this paper contain the corresponding results in [1,2,5,7,8] as their special cases. |
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| Keywords: | interval space quasi convex (concave) mapping Wconvex set Wcompact set variational inequality. |
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