scholarly journals Some Properties of Fuzzy Quasimetric Spaces

2010 ◽  
Vol 2010 ◽  
pp. 1-9 ◽  
Author(s):  
Abdul Mohamad
Keyword(s):  
Limit Theorem ◽  
Metric Spaces ◽  
Uniform Limit ◽  
Baire’S Theorem ◽  
Quasimetric Space

Some properties of fuzzy quasimetric spaces are studied. We prove that the topology induced by any -complete fuzzy-quasi-space is a -complete quasimetric space. We also prove Baire's theorem, uniform limit theorem, and second countability result for fuzzy quasi-metric spaces.

scholarly journals On Fuzzy Modular Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yonghong Shen ◽  
Wei Chen
Keyword(s):  
Limit Theorem ◽  
Modular Space ◽  
Topological Properties ◽  
Uniform Limit ◽  
Hausdorff Topology ◽  
Baire’S Theorem ◽  
Modular Spaces

The concept of fuzzy modular space is first proposed in this paper. Afterwards, a Hausdorff topology induced by aβ-homogeneous fuzzy modular is defined and some related topological properties are also examined. And then, several theorems onμ-completeness of the fuzzy modular space are given. Finally, the well-known Baire’s theorem and uniform limit theorem are extended to fuzzy modular spaces.

A uniform limit theorem for predictive distributions

2002 ◽  
Vol 56 (2) ◽  
pp. 113-120
Author(s):  
Patrizia Berti ◽  
Pietro Rigo
Keyword(s):  
Limit Theorem ◽  
Uniform Limit ◽  
Predictive Distributions

A uniform limit theorem and exponential limit law for critical multitype age-dependent branching processes

1978 ◽  
Vol 15 (2) ◽  
pp. 235-242 ◽  
Author(s):  
Martin I. Goldstein
Keyword(s):  
Limit Theorem ◽  
Generating Function ◽  
Branching Process ◽  
Branching Processes ◽  
Uniform Limit ◽  
Second Moment ◽  
Age Dependent ◽  
The Mean ◽  
Image Position ◽  
The Right

Let Z(t) ··· (Z1(t), …, Zk (t)) be an indecomposable critical k-type age-dependent branching process with generating function F(s, t). Denote the right and left eigenvalues of the mean matrix M by u and v respectively and suppose μ is the vector of mean lifetimes, i.e. Mu = u, vM = v.It is shown that, under second moment assumptions, uniformly for s ∈ ([0, 1]k of the form s = 1 – cu, c a constant. Here vμ is the componentwise product of the vectors and Q[u] is a constant.This result is then used to give a new proof of the exponential limit law.

scholarly journals (F, L) Contractions on Complete Weak Partial Metric Spaces for a Commuting Family of Self Mappings

2020 ◽  
pp. 67-76
Author(s):  
K. Piesie Frimpong
Keyword(s):  
Metric Spaces ◽  
The Self ◽  
Partial Metric ◽  
Uniform Limit ◽  
Partial Metric Spaces ◽  
The Family

The aim of this paper is to clarify the choice of the self map T : X → X in Kaya et als (F,L) weak contractions by choosing a family Tn, n ∈ N of (F,L) contractions. Motivated by the fact that the uniform limit T of the family of self maps is a better approximation, we are guaranteed the choice of the self map. By this, the choice of T is no longer arbitrary. Again, for any nite family T1, T2, T3, · · · , TN of (F,L) contractions their composition is an (F,L) contraction. This concept generalizes and improves on several results especially Theorems 3.1 and 3.2 of [10].

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