广义渐进拟非扩张映射族的带误差的隐式迭代序列的收敛定理

Convergence Theorems for Implicit Iterative Sequences with Errors of Generalized Asymptotically Quasi-Nonexpansive Mappings in Convex Metric Spaces

在凸度量空间中,对两个广义渐进拟非扩张映射族引入了带误差的隐式迭代序列,在一定条件下证明了该迭代序列是柯西列,并收敛到其某个公共不动点.

In this paper,we introduce an implicit iterative sequence with errors for two finite families of generalized asymptotically quasi-nonexpansive mappings in convex metric spaces,and prove that the sequence is a Cauchy sequence and converges to a certain common fixed point.