| 求解具有伪单调映象的广义混合拟似变分包含的邻近点算法 |
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| 引用本文： | 丁协平.求解具有伪单调映象的广义混合拟似变分包含的邻近点算法[J].四川师范大学学报(自然科学版),2004,27(3):221-227. |
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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,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 四川省教育厅重点科研基金 (2 0 0 3A0 81和SZD0 40 6 )资助项目 |
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| 摘 要： | 对集值映象引入了η-伪单调性概念，应用此概念和辅助变分不等式技巧，对求解具有伪单调集值映象的广义混合拟似变分包含，建议和分析了某些新的迭代算法．算法的收敛性仅需要集值映象的连续性和η-伪单调性．算法和收敛性结果是新的且改进了最近文献中的某些已知结果。
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| 关 键 词： | 广义混合拟似变分包含 η-伪单调 斜对称 辅助变分包含 邻近点迭代算法 |
Proximal Point Algorithms for Solving Generalized Mixed Quasi Variational-like Inclusion with Pseudomonotone Type Mappings |
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| Abstract.Proximal Point Algorithms for Solving Generalized Mixed Quasi Variational-like Inclusion with Pseudomonotone Type Mappings[J].Journal of Sichuan Normal University(Natural Science),2004,27(3):221-227. |
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| Authors: | Abstract |
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| Abstract: | The concept of η-pseudo-monotonicity for set-valued mappings is introduced. By applying the concept and the auxiliary variational inequality technique, some new iterative algorithms for solving generalized mixed quasi-variational-like inclusion involving η-pseudomonotone set-valued mappings are suggested and analyzed. The convergence of the algorithms only need the continuity and the η-pseudomonotonicity of set-valued mappings. The algorithm and the convergence result obtained here are new which improve some known results in recent literatures. |
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| Keywords: | Generalized mixed quasi-variational-like inclusion η-pseudomonotone Skew-symmetric Auxiliary variational inclusion Proximal point iterative algorithm |
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