局部凸空间中的微分算子及其不动点定理

摘要

It was introduced the concept of differential for a kind of operator in locally convex spaces,then a fixed point theorem for these differential operators on cone was given which improved the corresponding results in recent literatures.%首先在局部凸拓扑向量空间中对一类算子引进了可微分的概念.然后，用拓扑度方法在局部凸空间的锥上对微分算子获得了一个不动点定理.结果推广和改进了文献中的相应定理.