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| 摘要: |
| 介绍了一类包含非扩张映射的变分不等式和Wiener-Hopf方程,基于投影技巧推导出两者之间的等价关系,利用该等价关系提出了一个同步求解非扩张映射不动点和变分不等式的迭代算法,并在适当条件下证明了该迭代算法的强收敛性;所得结论推广了该领域内的一些最新结果. |
| 关键词: 变分不等式,Wiener-Hopf方程,非扩张映射,强制映射,不动点 |
| DOI： |
| 分类号:O177.91 |
| 基金项目: |
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| The iterations for variational inequalities and nonexpansive mapping |
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WEN Dao-jun
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| Abstract: |
| In this paper,a class of variational inequalities and Wiener-Hopf equations are introduced, which involve nonexpansive operators.The alternative equivalent formulations is deduced by using the projection technique.A iterative method is proposed for findin |
| Key words: variational inequalities,Wiener-Hopf equations,nonexpansive mapping,coercive mapping,fixed point |
