伪压缩映像和非扩张映像不动点的一种迭代算法和一类反应扩散方程的迭代解

Algorithm of iteration process for pseudo contraction and non-expansive mappings and iterative solutions for a class of reaction diffusion equations

在Hilbert空间中讨论了伪压缩映像的一类隐迭代序列和非扩张映像的一类显迭代序列的强收敛性,改进了有关文献中的相应条件,并利用所得结果给出了一类反应扩散方程的迭代解.

Some strong convergence theorems of the implicit and explicit iteration process for pesudo contraction and non-expansive mappings in Hilbert spaces were established.Some corresponding conditions of relevant literatures were improved.Iterative solutions for a class of reaction diffusion equations were obtained.