赵增勤.af的拓扑度及其应用[J].数学研究及应用,1991,11(4):529~534
af的拓扑度及其应用
Topological Degree of the Mapping af and Applications
投稿时间:1989-11-06  
DOI:10.3770/j.issn:1000-341X.1991.04.011
中文关键词:  
英文关键词:
基金项目:
作者单位
赵增勤 曲阜师范大学数学系 
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中文摘要:
      本文首先对Rn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P1紧映象的Altman不动点定理.
英文摘要:
      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.
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