非扩张映像显式迭代序列强收敛性

Strong Convergence of Nonexpansive Mapping Explicit Iteration Sequence

在具有一致Gateaux可微范数的自反严格凸Banach空间中,利用半闭原理等基本理论,证明了非扩张映像显式迭代序列的强收敛性,完善和改进了相关的证明.

Under the case that the Banach space admits an analagmatic strictly convex and a uniformly Gateaux differentiable norm,we give the convergence theorems of the explicit iteration sequence for nonexpansive mapping.The main results refine and improve the corresponding proof.