一类带扰动的算子方程解的存在唯一性

Existence and Uniqueness of Solution for a Class of Operator Equations with Perturbation

对于非线性算子方程的求解问题,在Hilbert空间上,利用压缩映象原理,得到了一类带扰动的非线性算子方程Tx+Ax=0的解的存在唯一性。

The nonlinear operator equations with perturbation in a Hilbert space was considered. By means of contractive mapping theory, the existence and uniqueness of solutions of the above equation were obtained.