| Banach空间中集值混和变分不等式问题解的迭代算法 |
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| 引用本文： | 夏福全,丁协平. Banach空间中集值混和变分不等式问题解的迭代算法[J]. 应用泛函分析学报, 2008, 10(4): 289-297 |
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| 作者姓名： | 夏福全 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,成都,610066 |
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| 基金项目： | Young Science Foundation of Sichuan Normal University,教育部自然科学基金 |
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| 摘 要： | 介绍了集值映象的伪单调定义,并在Banach空间中构造了集值混和变分不等式问题近似解的迭代算法．应用伪单调映象定义,证明了该迭代算法收敛于集值混和变分不等式问题的近似解．特别值得注意的是：在文章中对集值映象没有Lipschitz连续性假设．
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| 关 键 词： | 集值混和变分不等式问题 迭代序列 弱单调 伪单调 强凸泛函 Banach空间 |
Iterative Schemes for Solving Multivalued Mixed Variational Inequalities in Banach Spaces |
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| XIA Fu-quan,DING Xie-ping. Iterative Schemes for Solving Multivalued Mixed Variational Inequalities in Banach Spaces[J]. Acta Analysis Functionalis Applicata, 2008, 10(4): 289-297 |
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| Authors: | XIA Fu-quan DING Xie-ping |
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| Affiliation: | XIA Fu-quan DING Xie-ping College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,China |
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| Abstract: | Some new iterative schemes for finding the approximate solutions of multivalued mixed variational inequalities are suggested and analyzed in reflexive Banach spaces.By using the concept of pseudomonotonicity of set-valued mappings,the convergence of the sequence generated by the new iterative algorithms are proved.It is worth notice that there are not any Lipschitz continuity assumption for mappings in the results of this paper. |
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| Keywords: | multivalued mixed variational inequality problem iterative schemes weakly monotone pseudomonotone strongly convex functions Banach space |
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