摘要
本文避开不动点指数,讨论了一类值域不完全在锥中的弱内向型映射,建立了弱内向型半紧1-集压缩映射的正不动点定理,以及弱内向型严格集压缩映射范数压缩型不动点定理,推广了Schauder定理及其它结果。
This paper some positive fixed point theorems for weakly inward demi-compact 1-set-contraction mappings and some positive fixed point theorems of compression with norm type are established. These results extend the fixed point theorem of schauder and other fixed point theorems.
出处
《北方工业大学学报》
1992年第1期17-26,共10页
Journal of North China University of Technology
关键词
集压缩映射
正不动点
拟正规锥
set-contraction mapping, weakly inward mapping, demi-compact, positive fixed point
quasinormal cone
