二元算子方程组的迭代求解

Solution for Some Classes of Systems of Two Binary Operator Equations and Applications

利用锥理论和单调迭代方法,本文在Banach空间对一类二元算子方程组的求解进行了探讨,利用较简捷的务件,得出方程组的最小最大解和最大最小解,及其上下控制逼近式．并推广到n元算子方程组的情形,改进了许多有关结果．

Using the cone and partial ordering theory and monotone iterative method in some wea- ker conditions ,the existence of maxmal and minimal solutions for some classes of systems of two binary operator equations are discussed. As the generalization of the main result,the solutions for some classes of n binary operator equations are also given. Some known results are improved.