有限个广义渐近非扩张映射具误差的复合隐迭代过程

Composite Implicit Iteration Process with Errors for a Finite Family of Generalized Asymptotically Nonexpansive Mappings

在一致凸Banach空间研究了一个新的有限个广义渐近非扩张映射具误差的复合隐迭代过程．利用空间满足Opial条件和算子满足半紧性条件，我们证明了这个隐迭代过程强、弱收敛于有限个广义渐近非扩张映射的公共不动点．这些结果是目前所得成果的完善和推广．

composite implicit fixed point iteration process with errors for a finite family of generalized asymptotically nonexpansive mappings in a uniformly convex Banach space. Applying opial condition of the space and semi-compact condition of the operator, we prove that this iteration process strongly converges （or weakly converge）to a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings. Our results extend and generalize some well known results.