凸度量空间中渐近拟非扩张映射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 Asymptotically Quasi-nonexpansive Mappings in Convex Metric Spaces

在凸度量空间中引入一种有限渐近拟非扩张映射的带误差的隐式迭代序列,证明了在一定条件下此序列是柯西序列,从而得到了在完备的凸度量空间中该序列收敛到两个有限渐近拟非扩张映射族的某个公共不动点.

This paper introduces an implicit iterative sequence with errors for two finite families of asymptotically quasi-nonexpansive mappings in convex metric spaces,and proves that the sequence is a Cauchy sequence under certain conditions.As a result,in complete convex metric spaces the two finite families of asymptotically quasi-nonexpansive mappings converge to a certain common fixed point.