Banach空间中渐近拟非扩张型映象不动点的具误差的Ishikawa迭代逼近  

The Iterative Approximation of the Fixed Points with Errors for Asymptotically Quasi-nonexpansive Type Mappings in Banach Spaces

作　　者：王绍荣[1] 

机构地区：[1]云南大理学院数学系,云南大理671000

出　　处：《四川师范大学学报（自然科学版）》2004年第3期255-258,共4页Journal of Sichuan Normal University（Natural Science）

摘　　要：设E是实的一致凸Banach空间 ,D是E的非空有界闭凸集 .Γ :D→D是一半紧的一致L Lips chitzian的渐近拟非扩张型映象 ,{xn}是具误差的Ishikawa迭代序列 .在最近有关文献定理中的条件“对任意子列 {xni} {xn} ,当‖Tnixni-xni‖→ 0时就有‖Txni-xni‖→ 0”的情况下 ,证明了 {xn}强收敛到T的某一不动点 .Let D be a nonempty bounded closed convex subset of a real uniformly convex Banach space E, T:D→D be a semi-compact uniformly L-Lipschitzian asymptotically quasi-nonexpansive type mapping, and {x_n}D be an Ishikawa iterative sequence with mixed errors. The purpose of this paper is to study the strong convergence of {x_n} to a fixed point of T without the condition “for any {x_(n_i)}{x_n}, ‖Tx_(n_i)-x_(n_i)‖→0 as ‖T~~^(n_i)___(x_(n_i))-x_(n_i)‖→0,”. The results presented in this paper extend and improve the recent corresponding results.

关 键 词：渐近拟非扩张型映象 渐近非扩张型映象 具误差的Ishikawa迭代序列 不动点 

分 类 号：O177.91[理学—数学]