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Banach空间中单参数非扩张半群不动点和变分不等式解的粘性逼近方法

, PP. 52-57

Keywords: 非扩张半群,不动点,粘性逼近方法,变分不等式

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Abstract:

研究单参数非扩张半群的不动点和某变分不等式的解的迭代算法.在具有弱序列连续对偶映射的Banach空间中,利用粘性逼近方法,建立非扩张半群的不动点的三步迭代格式,证明该方法所得到的序列在一定条件下是强收敛的,并收敛于某变分不等式的唯一解.所得结论推广和统一了一些类似文献的结论.

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