非线性算子方程的迭代求解方法

Iterative Solution for Some Classes of Nonlinear Operator Equations

在较弱的条件下,利用锥理论和单调迭代方法,建立了Banach空间中一类非线性算子方程的最大最小藕合解的存在性定理和不动点定理,并给出了相应的迭代逼近式及误差估计式,改进了一些相应结果.

The existence of the coupled maximal and minimal solutions are studied in some weaker conditions by using the cone and partial ordering theory and monotone iterative method, and the error estimations for the convergent iteratire sequence are given as well. Some known results are also improved and generalized.