有限一致拟-李卜希兹映象族公共不动点的逼近

On the Approximation Problem of Common Fixed Points for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Space

在凸度量空间内,研究了带误差的Ishikawa型迭代方法逼近有限一致拟-李卜希兹映象族的公共不动点.在一定条件下,给出了带误差的Ishikawa迭代序列收敛于有限一致拟-李卜希兹映象族的公共不动点的充要条件.

The purpose of this paper is to study some kind of Ishikawa type iterative scheme with errors to approximate a common fixed point of a finite family of uniformly quasi-Lipschitzianmappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved. The results presented in the paper generalize, improve and unify some recent results .