1) convex metric space
完备凸度量空间
1.
On the convergence of the Ishikawa iterates to a common fixed point of two mappings in complete convex metric spaces;
完备凸度量空间中两个映射的公共不动点的Ishikawa迭代强收敛定理
2.
The theorems on Ishikawa ierates strongly converging to a common fixed point for two mappings in complete convex metric spaces;
完备凸度量空间中Ishikawa迭代序列强收敛到两个映射的公共不动点定理
2) complete metric space
完备度量空间
1.
Fixed points on complete metric spaces;
完备度量空间中的不动点(英文)
2.
Uses the property of complete metric space and lemma [1.
利用完备度量空间的性质和引理[1。
3.
Using the property of complete metric space and related lemmas 1 and 2,the existence of common fixed point of a couple of fuzzy contractive mappings with inequality conditions and the cut set being nonempty closed bounded subsets of complete metric space X,is studied;and several theorems on the existence of common fixed point are given.
利用完备度量空间的性质和引理1、2,研究了在完备度量空间X中一对压缩型模糊映象当其截集是X中非空有界闭集时,该对压缩型模糊映象的公共不动点的存在性问题,推广了Vija-yaraju P和Marudai M论文的结论。
3) complete metric spaces
完备度量空间
1.
A new fixed point theorem in complete metric spaces for four mappings;
完备度量空间中四个映象的一个新的不动点定理
2.
Fisher B proved the following fixed point theorem:Let (X,d) and (Y,ρ) be complete metric spaces,let T be a continuous mapping of X into Y and let S be a mapping of Y into X satisfying the inequalities d (STx,STx′)≤C max ｛ d (x,x′), d (x,STx), d (x′,STx′),ρ(Tx,Tx′)｝ρ(TSy,TSy′)≤C max ｛ρ(y,y′),ρ(y,TSy),ρ(y′,TSy′),d(Sy,Sy′)｝ for all x,x′ in X and in Y,where 0≤C<1.
该文对此定理作一推广，从而得到了完备度量空间与紧度量空间上２ 个新的不动点定理。
3.
By using the definition for compatible self-mappings in metric spaces,the existence of common fixed point for Φ expansive compatible mappings in complete metric spaces is considered.
利用度量空间中自映射对相容的定义,讨论了完备度量空间中Φ扩张相容映射公共不动点的存在性,推广和改进了张石生、谷峰等人一些相关的结果。
4) Complete Fuzzy metric spaces
完备Fuzzy度量空间
5) Complete fuzzy metric space
完备的Fuzzy度量空间
6) complete bounded metric space
完备有界度量空间
1.
The existence of common fixed points for commuting mappings in compact metricspaces and complete bounded metric spaces are proved which extend and unify the results ofFisher, Jungck and Leader.
证明了紧度量空间与完备有界度量空间上的可交换映射的公共不动点的存在性，所得的结果推广了Ｆｉｓｈｅｒ［１，２］，Ｌｅａｄｅｒ［３］和Ｊｕｎｇｃｋ［４］的结果。
补充资料：凸集的度量空间
凸集的度量空间
convex sets, metric space of
【补注】凸集的度量空间(特别是用对称差度量来度量化的)在凸几「何的分析基础中起着根本的作用.在!All，[A3〕，{A2」中给出的凸几何新的重要结果指出了 条一般的公理化途径.凸集的度且空间}阴vex sets，me肠c spa说of二‘卿R-J以M曰刀.沦1.即.犯印阳cT.0] Eudid空间厂”中紧致凸集(以)n vex set)的集合.并带有Hausdorff度量 阿八，朴绷.(州‘，井)，”妞凡)} 、‘声这个空间是有界紧的(见BlaS山玩选择定理(BlaschkeseleCtion theorem)).关干凸集的度量空间的类似物(其他的度量化，非紧集，集类，其他的初始空间)见!l】.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条