Banach空间中具有数列的渐近拟非扩张型映象的不动点及其具有误差的Ishikawa迭代逼近  

THE FIXED POINTS AND THE ISHIKAWA ITERATIVE APPROXIMATION WITH ERRORS FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS WITH SEQUENCE OF NUMBER IN BANACH SPACES

作　　者：孟京华[1] 

机构地区：[1]九江学院理学院数学系,九江332000

出　　处：《高等学校计算数学学报》2008年第3期193-200,共8页Numerical Mathematics A Journal of Chinese Universities

摘　　要：1引言及相关定义引文[1～5]讨论了渐近非扩张映象和渐近非扩张型映象不动点的迭代逼近问题.文[6]改进了文[1]中条件,将T由渐近非扩张型映象推广到T是渐近拟非扩张型映象.The concept of asymptotically quasi-nonexpansive type mapping with sequence of number is given.The fixed points of this class operator and the strong convergence of Iterative approximation with errors to a fixed Point of this class operator are discussed.The results presented in this paper extend and improve the recent corresponding results.

关 键 词：BANACH空间 数列 渐近拟非扩张型映象 不动点 ISHIKAWA迭代逼近 

分 类 号：O177.2[理学—数学] O171[理学—基础数学]