Reich一个定理的改进及其应用

Further Improvements and Applications on a Theorem Due to Reich

中文关键词:  增生映像  伪压缩映像  正则化迭代算法  值域条件  Reich不等式.

英文关键词:accretive mapping  pseudocontraction  regularization iteration algorithm  range condition  Reich's inequality.

中文摘要:

      本文使用新的分析技巧研究了一致光滑Banach空间中一类增生映像的零点的迭代构造问题, 所得结果改进了Reich早期的一个著名定理.作为应用,导出了连续伪压缩映像的不动点的迭代算法的强收敛定理.

英文摘要:

      In this paper, by using new analysis techniques, we have studied iterative construction problem for finding zeros of accretive mappings in uniformly smooth Banach spaces, and improved a theorem due to Reich. As its application, we have deduced a strong convergence theorem of fixed points for continuous pseudo-contractions.