| 解非线性混合似变分不等式的预测-校正迭代算法 |
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| 引用本文： | 丁协平.解非线性混合似变分不等式的预测-校正迭代算法[J].四川师范大学学报(自然科学版),2003,26(1):1-5. |
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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： | 国家自然科学基金 (1 9871 0 59)，四川省教育厅重点科研基金资助项目~~ |
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| 摘 要： | 对映象引入了部分松驰η－强单调性概念，应用辅助变分不等式技巧，建议和分析了求解非线性混合似变分不等式的预测－校正迭代算法，算法的收敛证明仅需要映象的部分松驰η－强单调性，此性质比η－余强制性更弱，这些算法的收敛性结果 的且推广了文献中某些已知结果。
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| 关 键 词： | 非线性混合似变分不等式 辅助变分原理 部分松驰η－强单调性 预测－校正迭代算法 收敛性 |
Predictor-Corrector Iterative Algorithms for Solving Nonlinear Mixed Variational-like Inequalities |
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| Abstract.Predictor-Corrector Iterative Algorithms for Solving Nonlinear Mixed Variational-like Inequalities[J].Journal of Sichuan Normal University(Natural Science),2003,26(1):1-5. |
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| Authors: | Abstract |
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| Abstract: | The concept of partially relaxed η-strong monotonicity of set-valued mappings is introduced. By applying the auxiliary variational inequality technique, some new predictor-corrector iterative algorithms for solving nonlinear mixed variational-like inequalities are suggested and analyzed. The convergence of the algorithms only need the partially relaxed η-strong monotonicity of mappings which is weaker than the η-cocoercivity. These algorithms and convergence results are new, and generalize some known results in literatures. |
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| Keywords: | Nonlinear mixed variational-like inequality Auxiliary variational principle Predictor-corrector iterative algorithm |
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