渐近非扩张映象不动点的黏性混杂子序列迭代算法收敛性

Viscosity Hybrid Subsequence Iterative Algorithm for the Fixed Points of Asymptotic Nonexpansive Mappings

在Hilbert空间中研究了渐近非扩张映象T的不动点的一种新型黏性混杂子序列迭代法算法,并利用该迭代算法特点在一定条件下证明了迭代序列强收敛于T的不动点。其结果改进和推广了一些相应的近代结果。

A new viscosity hybrid subsequence iterative method for the fixed points of asymptotic nonexpansive mappings is given and studied in Hilbert spaces. The strong convergent theorem for this kind of the iterative sequences is proved. The results in the present paper extend and improve some resent results of other authors.