渐近非膨胀映象的收敛性问题  

Problem of Convergence for Asymptotically Nonexpansive Mappings

作　　者：胡良根[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2005年第1期12-15,共4页Journal of Ningbo University：Natural Science and Engineering Edition

摘　　要：在一致凸的Banach空间中,使用了一种新的证明方法研究了渐近非膨胀映象具误差的修正Mann和Ishikawa迭代程序的收敛性问题; 并且不要求定义域和值域有界,迭代系数更为简单.A new proof method is introduced to study the convergence problems of the modified Mann and Ishikawa iterative process with errors for asymptotically nonexpansive mappings in uniformly convex Banach spaces. The bounded of the domain and range can be unbounded, and the iterative coefficient is simpler.

关 键 词：一致凸BANACH空间 渐近非膨胀映象 具误差的修正Ishikawa迭代程序 具误差的修正Mann迭代程序 

分 类 号：O177.91[理学—数学]