实Banach空间中一类非线性算子不动点的收敛定理

The Convergent Theorem of Fixed Point of Nonlinear Operator in Real Banach Space

在Banach空间中给出算子的带误差项的Krasnoselskij(以下简写K)迭代序列,Mann迭代序列的收敛定理,此结果对当前该领域中某些结果的推广和概括。

operator satisfies the condition of neither Lipschitz nor bounded range. In this paper, we system- atically study operator and K iteration sequence, and Mann iteration sequence with errors of convergence, which extends and generalizes some corresponding results at present