| 关于广义非线性互补问题 |
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| 引用本文： | 高兴宝. 关于广义非线性互补问题[J]. 陕西师范大学学报(自然科学版), 1999, 27(3): 17-20 |
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| 作者姓名： | 高兴宝 |
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| 作者单位： | 陕西师范大学数学系!陕西西安710062 |
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| 摘 要： | 研究了广义非线性互补问题．将互补问题转化为一个无约束最优化问题，而最优化问题的全局最优解恰为广义非线性互补问题的解．给出了无约束最优化问题的平衡点是广义非线性互补问题的解的一个充分必要条件和一系列充分条件．文中结论推广了有关文献中的相应结论．
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| 关 键 词： | 广义互补问题 无约束最优化 充分必要条件 平衡点 |
| 文章编号： | 1001-3857(1999)03-0017-04 |
| 修稿时间： | 1999-03-20 |
On generalized nonlinear complementarity problem |
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| GAO Xing-bao. On generalized nonlinear complementarity problem[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1999, 27(3): 17-20 |
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| Authors: | GAO Xing-bao |
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| Abstract: | Generalized nonlinear complementarity problem is considered. It is transformed into an unconstrained optimization problem, and its solution is that of the unconstrained optimization problem. A necessary and sufficient condition and a series of sufficient conditions are given of an equilibrium point of the unconstrained problem being a solution of the generalized nonlinear complementarity problem. The results contains corresponding results in relevant references. |
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| Keywords: | generalized complementarity problem unconstrained optimization necessary sufficient condition equilibrium point |
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