渐近伪压缩映像新的迭代过程(英文)

New iterative procedures for asymptotically pseudocontractive mappings

在Banach空间中为渐近伪压缩映像引入了一种新的粘性迭代过程,得到了逼近渐近伪压缩映像不动点的粘性迭代序列的强收敛性定理.所得结果改进和扩展了本领域近期的相关结果.

The purpose of this paper is to introduce and study new viscosity iteration processes for asymptotically pseudocontractive mappings in Banach spaces. Some convergence theorems of viscosity iteration sequence for approximation the fixed points of asymptotically pseudocontractive mappings are obtained. These results improve and extend some recent results in this field.