二元算子方程组的唯一解

The Iterative Unique Solution of Two Binary Operator Equations

利用锥理论和半序方法,对Banach空间上一类二元算子方程组的求解进行了探讨,利用较简捷的条件,得出方程组的唯一解及其迭代逼近式及误差估计式,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, the existence and uniqueness of solutions for some classes of systems of two binary operator equations are discussed. And the error estimations for the convergent iterative sequence are also given. As the generalization of the main result, the solutions for some classes of systems of n binary operator equations are also given. Some known results are improved and generalized.