极大单调算子值域的扰动定理

Perturbation Theorems of Range of Maximal Monotone Operator

利用拓扑度理论 ,研究了在一些新条件下 ,极大单调算子扰动后方程的可解性以及极大单调算子扰动后的值域与抽象空间中的 (闭 )单位球之间的关系 .

By using topology degree theorem,some theorems of the solvability of equation under the perturbation of maximal monotone operator and the relation between the range of the perturbations of manimal monotone operator and the (closed) unit ball in an abstract space are given under some new conditions.