摘要
本文研究了严格集压缩映射、凝聚映射的拓扑度,给出了拓扑度为零的充分条件,从而得到严格集压缩映射,凝聚映射,半紧Ⅰ集压缩映射的不动点定理。本文的结论推广和改进了有关郭大钩定理的若干已知结果。
In this paper,we study the topological degerees of strict set-contractionmappings and condensing mappings,give some sufficient conditions for themappings with zero topological degree.Therefore,we get some fixed pointtheorems for the mappings.Our conclusions generalize anc improve somewell-known results on Guo′s theorem.
出处
《数学杂志》
CSCD
北大核心
1992年第3期272-280,共9页
Journal of Mathematics
