Hilbert空间中严格拟伪压缩映像族的具误差的复合迭代算法

Composite Iteration Methods with Errors for Strict Quasi-Pseudo-Contractions in Hilbert

在Hilbert空间中,设计了一种关于κn-严格拟伪压缩映像族的具误差的复合迭代算法,并且利用度量投影的方法证明了严格拟伪压缩映像族的具误差的公共不动点的强收敛定理,所得结果进一步改进和推广了一些最新文献的相关结果.

The composite iteration methods with errors forκn-strict quasi-pseudo-contractions mappings is studied.By using metric projection methods,a strong convergence theorem for common fixed points of a family of strict quasi-pseudo-contractions mappings with errors is proved in the setting of Hilbert spaces.The results further improve and generalize some relevant results of the latest literature.