| Banach空间中非线性互补问题的解的存在性 |
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| 引用本文： | 曾六川.Banach空间中非线性互补问题的解的存在性[J].上海师范大学学报(自然科学版),1995(4). |
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| 作者姓名： | 曾六川 |
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| 摘 要： | 证明了一个非线性互补问题ＮＣＰ（Ｔ，Ｋ）的解的存在定理、其中，Ｋ是自反Ｂａｎａｃｈ空间Ｅ中的闭弱局部紧凸锥、Ｔ是从ＫＥ到Ｅ中的非线性算子；另一方面，证明了当ＫＥ是一个Ｇａｌｅｒｋｉｎ锥，Ｔ具有形式Ｔ＝Ｊ－Ｆ时的问题ＮＣＰ（Ｔ，Ｋ）的解的存在定理．其中，Ｊ是对偶映像，Ｆ满足适当的附加条件．
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| 关 键 词： | 非线性互补问题 凸锥 Banach空间 |
Existence of Solutions for the Nonlinear Complementarity Problem in Banach Spaces |
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| Zeng Luchuan.Existence of Solutions for the Nonlinear Complementarity Problem in Banach Spaces[J].Journal of Shanghai Normal University(Natural Sciences),1995(4). |
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| Authors: | Zeng Luchuan |
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| Institution: | Department of Mathematics |
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| Abstract: | We prove an existence theorem about the solution of the nonlinear complementarity problem NCP (T,K) where K is a closed weakly locally compact convex cone in a reflexive Banach space E and T is a nonlinear operator from K = E into E. 3 Furthermore, we prove an existence theorem about the solution of the problem NCP (T,K) whenever K E is a Galerkin cone and T is of the form T=J-F where J is the duality mapping and F satisfies a suitable additional condition. |
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| Keywords: | nonlinear complementarity problem convex cone F Banach space |
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