凸集上的非线性算子的固有元及固有值

EIGENVECTORS AND EIGENVALUES OF NONLINEAR OPERATLRS ON CONVEX SET

本文利用拓扑度研究集上的具边界条件的非线性集压缩算子的不动点。固有元及固有值的存在性,推广了[3,5,6]中的相应结论,部分回答了[4]的一个猜测。

In this paper, by using topological degree to study the existence of fixed points, eigenvectors and eigenvalues of nonlinear set—contraction with boundary conditions on convex set, we have generalized the corresponding results in [3, 5, 6]and partly answered a conjecture in [4].