带误差项的广义Halpern-Mann型迭代序列的强收敛定理

Strong Convergence Theorem of Generalized Halpern-Mann Type Iterative Sequence with Errors

为证明Φ-伪压缩映象不动点的迭代收敛性,引进了带误差项的广义Halpern-Mann型迭代算法,并利用此迭代算法和一些分析技巧,证明了Φ-伪压缩映象不动点的一个新的强收敛定理.

To prove the iteration convergence of Φ-pseudocontractive mapping fixed point,the paper has introduced the generalized Halpern-Mann type iterative algorithm with errors,and taking advantage of this iterative algorithm and some analysis techniques,it has proved a new strong convergence theorem of Φ-pseudocontractive mapping fixed point.