一致凸B空间中非扩张映象具误差的Ishikawa迭代过程的收敛性  

Convergence of Ishikawa Iteration Process with Errors for Nonexpansive Mapping in A Uniformly Convex B-space

作　　者：张文良[1] 侯志彬[2] 何震[2] 

机构地区：[1]河北金融学院基础部,河北保定071000 [2]河北大学数学与计算机学院,河北保定071002

出　　处：《河北大学学报（自然科学版）》2007年第4期352-356,共5页Journal of Hebei University(Natural Science Edition)

基　　金：河北省自然科学基金资助项目(A2006000941);教育部科学技术研究重点支持项目(207014)

摘　　要：利用一致凸Banach空间中凸性模的性质和对偶映射在任意有界集的一致连续性,研究了非扩张映象具误象的Ishikawa迭代过程的收敛性问题.得出具误差的Ishikawa迭代序列强收敛和弱收敛的某些充分条件.主要结果改进并完善了前期研究者的相应成果.By using the properties of the convexity module and uniform coninuity of the duality maps on any bounded sets in a uniformly convex Banach space, we discussed convergence problems of the Ishikawa iteration proces with errors for nonexpansive mappings. In a uniformly convex Banach space some sufficient conditions of strongly and weakly convergence theorems of Ishikawa iterative sequences with errors are given. Our main results improve and extend the corresponding results in the references.

关 键 词：带误差的Ishikawa迭代序列 非扩张映象 一致凸Banach空间的凸性模. 

分 类 号：O175[理学—数学]