关于一种严格伪压缩映象Mann迭代序列的强收敛性

The strong convergence of a modified Mann iteration for strictly pseudocontractive maps

证明了在H ilbert空间中非空有界闭凸集上的严格伪压缩自映象有不动点,介绍了一种关于严格伪压缩映象的M ann迭代序列并证明了其强收敛于不动点,其结果把非扩展映象推广到严格伪压缩映象,从而推广了近代一些相关结果.

A strictly pseudocontractive map from a nonempty bounded closed convex subset of a Hi/bert space into itself was showed to have fixed points. An iterative sequence of modified Mann type for strictly pseudocon-tractive maps was introduced and a modified Mann iteration processes strongly converges to a fixed point was proved. The results improved and extended some recent results.