关于非紧性算子的Krasnoselskii定理

Krasnoselskii Theorem for Noncompact Operators

本文利用变分不等方程理瓿证明了对于某些非紧性算子,Krasnoselskii 定理仍成立或具有类似的结论.

In this paper,the anthor uses the theory of variational inequalities to deal with Krasnososel- skii theorem for some noncompact operators.It is shown that the Krasnoselskii theorem is also true when the compact operator F in the krasnoselskii is replaced by these noncompact operators.