贵阳学院学报:自然科学版
貴暘學院學報:自然科學版
귀양학원학보:자연과학판
Journal of Guiyang College:Natural Science
2012年
1期
1-3
,共3页
像集压缩%映射%不动点%不连续%不完备
像集壓縮%映射%不動點%不連續%不完備
상집압축%영사%불동점%불련속%불완비
resemble set contracted maping%fixed point%discontinuous%imperfection
在像集压缩的条件下讨论映射的不动点,也就是从像的整体出发,而不是从集合中单个点的像出发来研究不动点,在不要求连续映射的条件下,集合А到自身的映射,只要求А与f(A)之间满足一定关系时,映射也存在不动点。
在像集壓縮的條件下討論映射的不動點,也就是從像的整體齣髮,而不是從集閤中單箇點的像齣髮來研究不動點,在不要求連續映射的條件下,集閤А到自身的映射,隻要求А與f(A)之間滿足一定關繫時,映射也存在不動點。
재상집압축적조건하토론영사적불동점,야취시종상적정체출발,이불시종집합중단개점적상출발래연구불동점,재불요구련속영사적조건하,집합А도자신적영사,지요구А여f(A)지간만족일정관계시,영사야존재불동점。
In this paper, we introduced some resemble set contractive mapping and obtain some fixed point theorems . That is our research on the fixed point theorems is based on the resemble set as an entirety, not on the resemble of a single element. A mapping from the set A to itself without require the mapping has the property of continuation, but only require the A and thef(A) satisfying the given condition, the mapping has a fixed point