P_r紧映射的正不动点与固有值

Positive Fixed Points and Eigenvalues for P_r-Compact Maps

本文利用锥的拟正规常数与P_r紧映射的不动点指数性质讨论了P_r紧映射的不动点指数计算,在一定的边界条件下得到了某些不动点定理与固有值存在性定理,推广了若干已知结果。

In this paper, we compute the fixed point index of P_r-compact maps using properties of the fixed point index and the constant of quasinormality the cone K, obtain some existence theorems for fixed points and eigen-values under certain boundary conditions, Our theorems extend the corresponding results containd in [1] and some other known results.