迭代逼近渐近非扩张映象的不动点

Iterative approximations of fixed points for asymptotically nonexpansive mappings

引入具随机混合型误差的Ishikawa和Mann迭代序列,在实Banach空间中研究了渐近非扩张映象和渐近伪压缩映象不动点的具随机混合型误差的Ishikawa和Mann迭代序列的逼近问题,建立了几个强收敛定理,改进和发展了许多已知的结果.

By intruducing the concept for Ishikawa and Mann iterative sequence with random mixed errors, this paper studies Ishikawa and Mann iterative sequence with random mixed errors approximations problem for asymptotically nonexpansive mappings and asymptotically pseudo-contractive mappings in general real Banach space, and sets up several strong convergent theorems, thus improving some corresponding results.