一致凸Banach空间渐近非扩张映象具双误差的Ishikawa迭代

On the Ishikawa iterative sequences with double errors for asymptotically nonexpansive mappings on a uniformlyconvex Banach spaces

在一致凸Banach空间中,研究了连续半紧的渐近非扩张映象‖Tnx-Tny‖≤Ln‖x-y‖的Ishikawa迭代序列的收敛问题,证明了具双误差的Ishikawa迭代序列的逼近收敛定理。

The convergence problems of Ishikawa iteratve approximation sequence for the continuous semi -compacting asymptotically nonexpensive mapping ‖T^nχ-T^nУ‖≤Ln‖χ-У‖ on a uniformly convex Banach space were studied, the convergence theorems with double error Ishikawa were proven.