ON PROBLEM OF NEAREST COMMON FIXED POINT OF NONEXPANSIVE MAPPINGS
ON PROBLEM OF NEAREST COMMON FIXED POINT OF NONEXPANSIVE MAPPINGS
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DOI：
10.1007/s10483-006-0703-z
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发表时间：
2006-07
影响因子：
4.4
通讯作者：
Zhang Shi-sheng
中科院分区：
文献类型：
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作者：
Zhang Shi-sheng
利用粘性逼近方法，研究了自反Banach空间中无穷族非扩张映象和给定的压缩映象的迭代格式的收敛性问题.在适当的条件下，证明了该迭代序列强收敛于某一公共不动点,而且这一公共不动点也是自反Banach空间中某一变分不等式的唯一解.所得结果推广和改进了最近的一些结果.
The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results.