| 向量变分不等式的标量局部唯一解 |
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| 引用本文： | 李声杰.向量变分不等式的标量局部唯一解[J].土木建筑与环境工程,1996,18(1):71-75. |
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| 作者姓名： | 李声杰 |
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| 作者单位： | 重庆建筑大学基础科学系 |
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| 摘 要： | 首先 讨论了向量变分不等式同向量最优化问题解之间的关系，然后证明了向量变分不等式解的Ｋ－Ｔ必要和充分条件，最后引入标量局部唯一解的概念，在适当条件下，证明了向量变分不等式存在标量局部唯一解。
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| 关 键 词： | 向量 变分不等式 切导数 |
SCALAR LOCALLY UNIQUE SOLUTIONS OF VECTOR VARIATIONAL INEQUALITY |
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| Li Sheng jie.SCALAR LOCALLY UNIQUE SOLUTIONS OF VECTOR VARIATIONAL INEQUALITY[J].土木建筑与环境工程,1996,18(1):71-75. |
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| Authors: | Li Sheng jie |
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| Affiliation: | Department of Natural Sciences |
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| Abstract: | This paper first deds with the relations of solutions of vector variational inequality and vector optimization problem. Then, K-T Necessary and sufficient conditions are proved. Finally, scalar locally unique solution is introduced. Under certain conditions,the exitence of scalar locally unique solution of vector variational inequality is proved. |
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| Keywords: | s: vector van ational inequality tangent derivative scalar bcally unique solution |
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