摘要
提出了集值映射的一种新的连续性—WS—连续性,举例说明了WS—连续不一定上半连续,上半连续不一定WS—连续,并得到了集值半紧1—集压缩WS—连续映时的多重不动点定理及不动点指数定理。这些定理从另一角度改进了丁协平[1]和张庆雍[2]的结果。
In this paper, we put forword a new concept of WS-continuity of set-valued maps,and ill ustuate that WS-Contiuity doesn't imply upper semi-continuity, and uppersemicontinuity also doesn't imply WS-continuity. Furthermore, we obtain multiple fixedpoint theorems and fixed point index thorems for set-valued demicompact 1-set-contracfiveand WS-continuous maps, These theorems improve the recent reoults obtaimed by Ding xieping and Zhang Qing Yong.
基金
能源部电力高校青年教师基金
关键词
集值映射
不动点定理
set—valued map
fixed point theorem
Banach spaces
