| 伪单调广义混合变分不等式的改进k步预解算法 |
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| 引用本文： | 代宏霞.伪单调广义混合变分不等式的改进k步预解算法[J].应用泛函分析学报,2008,10(1):39-43. |
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| 作者姓名： | 代宏霞 |
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| 作者单位： | 西南财经大学,经济数学学院,四川,成都610074 |
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| 摘 要： | 在算子的分裂技巧基础上介绍了求解伪单调广义混合变分不等式的改进五步预解算法，算法的收敛性只要求算子的g-伪单调和g—Lipschitz连续性，算子的伪单调比单调更弱．本文的新算法推广了文献中某些已有的结果．
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| 关 键 词： | 广义混合变分不等式 g-伪单调 改进预解算法 分裂技巧 |
| 文章编号： | 1009-1327(2008)01-0039-05 |
| 修稿时间： | 2006年1月10日 |
Modified k-Step Resolvent Algorithm for Solving Pseudomonotone General Mixed Variational Inequalities |
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| DAI Hong-xia.Modified k-Step Resolvent Algorithm for Solving Pseudomonotone General Mixed Variational Inequalities[J].Acta Analysis Functionalis Applicata,2008,10(1):39-43. |
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| Authors: | DAI Hong-xia |
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| Institution: | DAI Hong-xia(Department of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu Sichuan 610074, China) |
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| Abstract: | They introduced and studied a new class of modified k-step resolvent algorithm for solving pseudomonotone general mixed variational inequalities based on the splitting technology. The convergence of the algorithm requires only the pseudomonotonicity and g-Lipschitzcontinuity of mappings, which is weaker condition than the monotonicity. This method and convergence results generalize some results in literatures. |
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| Keywords: | general mixed variational inequalities g-pseudomonotone modified resolventalgorithm splitting technology |
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