A generalized forward-backward splitting method for solving quasi inclusion problems in Banach spaces

A generalized forward-backward splitting method for solving quasi inclusion problems in Banach spaces
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DOI:
10.1007/s11075-015-0030-6
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发表时间:
2015-08
影响因子:
2.1
通讯作者:
P. Cholamjiak
P. Cholamjiak
中科院分区:
数学3区
文献类型:
--
作者:
P. Cholamjiak

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给出了Banach空间中增生算子的一种新的一般分裂方法。然后给出了保证强收敛的充分条件。在最后一节中,我们将我们的结果应用于极小化优化问题和线性反问题,并给出了数值例子。
We propose a new general type of splitting methods for accretive operators in Banach spaces. We then give the sufficient conditions to guarantee the strong convergence. In the last section, we apply our results to the minimization optimization problem and the linear inverse problem including the numerical examples.