| 一类广义变分不等式解的存在性 |
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| 引用本文： | 丁协平.一类广义变分不等式解的存在性[J].烟台大学学报(自然科学与工程版),1995(2):15-22. |
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| 作者姓名： | 丁协平 |
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| 作者单位： | 四川师范大学 |
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| 摘 要： | 对一类新的广义非线性变分不等式问题ＧＮＶＩＰ（Ｆ，ｇ，ｂ，Ｋ），在局面部凸Ｈａｕｓｄｏｒｆｆ拓扑矢量空间内证明了解的存在性定理。结果中，不要求集值映象Ｆ具有某种单调性假设，Ｆ的定义域Ｋ也不必是紧的。
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| 关 键 词： | 广义 变分不等式 0－对角凹关系 存在性 |
Existence of Solutions for a Class of Generalized Variational Inegualities |
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| Ding Xieping.Existence of Solutions for a Class of Generalized Variational Inegualities[J].Journal of Yantai University(Natural Science and Engineering edirion),1995(2):15-22. |
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| Authors: | Ding Xieping |
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| Institution: | Sichuan Normal University |
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| Abstract: | Some existence theorems of solutions for a new class of generalized nonlinear variational ineguality problems GNVIP(F,g,b,K)in locally convex Hausdorff topological vector spaces are proved.In our theorems, it is not assumed that the set-valued mapping F has some monotonity and the domain K of F is compact. |
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| Keywords: | Generalized variationai in eguality 0- diagonally concave relation Locally convex Hausdorff topological vector space |
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