Hilbert空间中非扩张映射Noor混合迭代序列的收敛性

摘要

在Hilbert空间中介绍了非扩张映射Noor混合迭代序列,并且给出了该迭代序列强收敛于不动点的充分必要条件和弱收敛于不动点的充分条件.%Noor hybrid iterative sequence was introduced for nonexpansive mappings in Hilbert spaces. The sufficient and necessary conditions that the iterative sequence converge strongly to a fixed point of a nonexpansive mapping is obtained, and the sufficient condition to the corresponding weakly converge in Hilbert spaces is also given.