摘要
本文旨在对一类比1-集压缩场更为广泛的映射建立拓扑度,证明了这种新的拓扑度具有1-集压缩场拓扑度的各种性质,并据此将一些重要的不动点定理加以推广.
This paper aims to establish the topological degree for a class of mappings containing properly the class of 1-set contraction perturbations of the identity and proves that all properties of the. topological degree of the latter remain valid for the new one. Using these properties the author improves some important theorems on fixed points.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
1991年第2期167-176,共10页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
1-集压缩场
拓扑度
不动点
凝聚场
1-set contraction
topological degree
fixed-point
condensation
