摘要
Ｔ：Ｘ→Ｘ是仿度量空间的映象，Ｔ称为拟压缩映象，若对任意ｘ，ｙ∈Ｘ，ｄ（Ｔｘ，Ｔｙ）≤αｍａｘ｛ｄ（ｘ，ｙ），ｄ（ｘ，Ｔｘ），ｄ（ｙ，Ｔｙ），ｄ（ｙ，Ｔｘ），ｄ（ｘ，Ｔｙ）｝，０＜α＜１．本文给出了这种映象的不动点定理．
Let T:X→X be a mapping of a pseudo metric space (X,d) into itself. A mapping T will be called a quasi contraction if d(Tx,Ty)≤α max {d(x,y),d(x,Tx),d(y,Ty),d(x,Ty), d(y,Tx) } for some 0<α<1 and all x,y∈X. In the present paper,the fixed point of the mappings of this kind are investigated.
出处
《纺织高校基础科学学报》
CAS
1998年第1期27-29,37,共4页
Basic Sciences Journal of Textile Universities
关键词
仿度量空间
拟压缩映象
不动点
广义压缩
pseudo metric space,quasi contraction mapping, generalized contraction, fixed point
