平均算子及梯度投影生成的Ishikawa序列的收敛性

Convergence of Ishikawa Iterative Sequence for Averaged Mappings & Gradient Projection

在该文中,我们引入了与平均算子和梯度投影算子相关的Ishikawa迭代序列,且证明了这种迭代序列在一定的假设条件下弱收敛。该文中已有的结论推广了其它文献中的相关结果。

In this paper,the Ishikawa iterative sequence for averaged mappings and gradient projection is to be introduced,and the weak convergence for this kind of iterative sequence under suitable assumptions is also to be proved.The results presented in this paper extend corresponding results of other literatures.