Banach空间中Ishikawa迭代的CQ方法推广

CQ method for modified Ishikawa iteration in Banach space

利用XU Hong-kun引入的投影算子PK改进Hilbert空间中的CQ Ishikawa迭代,把Ishikawa迭代的强收敛性推广到光滑的一致凸Banach空间中,得到带误差项的迭代相应结果.

This paper extends the strong convergence of the CQ method for Ishikawa iteration in t-Iilbert spaces to smooth and uniformly convex Banach spaces by using the projection operator PK which is introduced by XU Hong-kun. As a corollary, the corresponding result for lshikawa iteration with errors is obtained.