摘要
本文首先对R^n中连续映象讨论了af(a≠0)与f的Brouwer度之间的关系,得到了Brou-wer度的几个等式,顺便推出几个不动点定理.在此基础上研究了投影完备的实Banach空间中A-proper映象f与af的广义拓扑度之间的联系.作为应用,推广了关于P_1紧映象的Altman不动点定理.
In this paper, we first discuss the relations between Brouwer degree of the continuous mapping in Rn f and the degree of the mapping af, obtain some equa-lities on Brouwer degrees and some fixed point theorems, then study the relations between generalized topological degrees of the mappings f and af, which are A-proper mappings in real Banach space with a projectively complete scheme. As applications, we generalize Altman fixed point theorem on p1, compact mappings.
