Some weak indivisibility results in ultrahomogeneous metric spaces
نویسندگان
چکیده
We study the validity of a partition property known as weak indi-visibility for the integer and the rational Urysohn metric spaces. We also compare weak indivisiblity to another partition property, called age-indivisibility, and provide an example of a countable ultrahomogeneous metric space which is age-indivisible but not weakly indivisible.
منابع مشابه
Fixed Point Theorems For Weak Contractions in Dualistic Partial Metric Spaces
In this paper, we describe some topological properties of dualistic partial metric spaces and establish some fixed point theorems for weak contraction mappings of rational type defined on dual partial metric spaces. These results are generalizations of some existing results in the literature. Moreover, we present examples to illustrate our result.
متن کاملGeneralized multivalued $F$-weak contractions on complete metric spaces
In this paper, we introduce the notion of generalized multivalued $F$- weak contraction and we prove some fixed point theorems related to introduced contraction for multivalued mapping in complete metric spaces. Our results extend and improve the results announced by many others with less hypothesis. Also, we give some illustrative examples.
متن کاملCommon fixed points of f-weak contractions in cone metric spaces
Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, we introduce the notion of $f$-weak contractions and als...
متن کاملExtensions of Some Fixed Point Theorems for Weak-Contraction Mappings in Partially Ordered Modular Metric Spaces
The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities.
متن کامل$(F,varphi ,alpha )_{s}$-contractions in $b$-metric spaces and applications
In this paper, we introduce more general contractions called $varphi $-fixed point point for $(F,varphi ,alpha )_{s}$ and $(F,varphi ,alpha )_{s}$-weak contractions. We prove the existence and uniqueness of $varphi $-fixed point point for $(F,varphi ,alpha )_{s}$ and $(F,varphi ,alpha)_{s}$-weak contractions in complete $b$-metric spaces. Some examples are supplied to sup...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Eur. J. Comb.
دوره 31 شماره
صفحات -
تاریخ انتشار 2010