| 隐变分不等式研究的半序方法* |
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| 引用本文： | 张石生,饶玲.隐变分不等式研究的半序方法*[J].应用数学和力学,1994,15(8):671-678. |
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| 作者姓名： | 张石生 饶玲 |
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| 作者单位： | 四川大学数学系 |
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| 摘 要： | 本文利用半序方法在Hausdorff拓扑线性空间中研究了一类一般形式的单调型隐变分不等式解的存在性问题。作为应用的例子,在文末我们应用所得结果,讨论了Nash平衡问题及半线性椭圆型方程解的存在性问题。
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| 关 键 词： | 隐变分不等式 T－单调映象 严格T－单调映象 Nash平衡问题 |
| 收稿时间： | 1992-10-07 |
On the Partially Ordered Methods in the Study of lmplicit Variational lnequalities |
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| Zhang Shi-sheng Rao Ling.On the Partially Ordered Methods in the Study of lmplicit Variational lnequalities[J].Applied Mathematics and Mechanics,1994,15(8):671-678. |
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| Authors: | Zhang Shi-sheng Rao Ling |
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| Institution: | Department of Mathematics., Sichuan Uhiversity, Chengdu |
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| Abstract: | By using the partially ordered methods,the existence problem of solutions for more general implicit variational inequalities of monotone type in Hansdorff topological linear spaces are considered.As application we utilize the results presented in this paper to study the existence of solutions for Nash equilibrium problem and the semi-linear elliptic differential equations. |
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| Keywords: | implicit variational inequality T-monotone mapping strictly T-monotone mapping Nash equilibrium problem |
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