| 含极大η-单调映射的非线性变分包含组 |
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| 引用本文： | 梁振刚,刘启宽.含极大η-单调映射的非线性变分包含组[J].四川大学学报(自然科学版),2004,41(2):247-250. |
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| 作者姓名： | 梁振刚 刘启宽 |
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| 作者单位： | 1. 四川大学数学学院,成都,610064
2. 成都信息工程学院计算科学系,成都,610041 |
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| 基金项目： | 成都信息工程学院科研基金(CRF200313) |
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| 摘 要： | 研究了Hilbert空间一类新的含极大η-单调映射的广义非线性变分包含组．运用不动点理论，作者证明了广义非线性变分包含组解的存在唯一性，并稚广了已知的一些结论．
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| 关 键 词： | 广义非线性变分包含组 极大η-单调映射 强单调映射 Lipschitz连续 |
A New System of Nonlinear Variational Inclusions Involving Maximal η-monotone Mapping |
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| Abstract.A New System of Nonlinear Variational Inclusions Involving Maximal η-monotone Mapping[J].Journal of Sichuan University (Natural Science Edition),2004,41(2):247-250. |
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| Authors: | Abstract |
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| Abstract: | A new class of system of generalized nonlinear variational inclusions involving maximal η- monotone mapping is introduced and studied in Hilbert spaces. The authors prove that the existence and uniqueness of solution of the system of generalized nonlinear variational inclusions by using the fixed point theorem. The results of this paper extend and improve some known results in the literature. |
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| Keywords: | a system of generalized nonlinear variational inclusions maximal η-monotone mapping strongly monotone mapping Lipschitz continuity |
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