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非凸变分不等式的三步投影算法及其收敛性分析

DOI: 10.3969/j.issn.1001-8395.2015.02.013, PP. 218-222

Keywords: 非凸变分不等式,一致临近正则集,ξ-强单调算子,η-Lipschitz连续算子,三步投影算法

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Abstract:

利用非凸变分不等式和不动点问题的等价关系,建立了一个新的求解非凸变分不等式的三步投影算法;该算法在现有的两步迭代算法基础上,利用校正方法建立了第三步迭代公式;最后在适当条件下证明了该算法的收敛性.

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