Results 271 to 280 of about 18,707 (285)

Approach Spaces, Limit Tower Spaces, and Probabilistic Convergence Spaces

Applied Categorical Structures, 1997
It is shown that the category CAP of convergence approach spaces is isomorphic to the category LTS of limit tower spaces. CAP has, as objects, pairs \((X,\lambda)\), where \(X\) is a set and \(\lambda:F(X)=\) (the set of filters on \(X)\to[0, \infty]^X\) satisfies (1) \(\lambda(\dot x)(x)=0\), where \(\dot x\) is the filter generated by \(\{x\}\), and ...
Paul Brock, D. C. Kent
openaire   +1 more source

On the Probabilistic Convergence Spaces: Monad and its Eilenberg–Moore Category

New Mathematics and Natural Computation, 2021
Motivated by the category of probabilistic convergence spaces — a supercategory of the category of topological spaces; recently, we brought to light the categories of probabilistic convergence groups, probabilistic metric probabilistic convergence groups, probabilistic convergence transformation groups, along with their underpinning natural examples ...
T. M. G. Ahsanullah, Tesnim Meryem Baran, Fawzi Al-Thukair   +2 more
openaire   +1 more source

I-STATISTICAL CONVERGENCE IN PROBABILISTIC NORMED SPACES

2014
In this paper, we introduce a new type of summability notion, namely, I-statistical convergence and I-lacunary statistical convergence for double sequences in probabilistic normed space, which is a natural generalization of the notion of natural density, statistical convergence and lacunary statistical convergence using the notion of ideals of the set ...
GÜRDAL, Mehmet, Savas, Ekrem
openaire   +2 more sources

Statistical convergence on probabilistic modular spaces

2014
Summary: We introduce the concepts of statistical convergence and statistical Cauchy sequence on probabilistic modular spaces. After giving some useful characterizations for statistically convergent sequences, we display an example such that our method of convergence works but its classical case does not work.
Orhan, Sevda, Dirik, Fadime, Demirci, Kamil   +2 more
openaire   +2 more sources

A common framework for lattice-valued, probabilistic and approach uniform (convergence) spaces

2017
Summary: We develop a general framework for various lattice-valued, probabilistic and approach uniform convergence spaces. To this end, we use the concept of \(s\)-stratified \(LM\)-filter, where \(L\) and \(M\) are suitable frames. A stratified \(LMN\)-uniform convergence tower is then a family of structures indexed by a quantale \(N\).
openaire   +1 more source

Probabilistic convergence analysis of the stochastic particle swarm optimization model without the stagnation assumption

Information Sciences, 2021
Yu Zhou
exaly  

On ideal convergence in probabilistic normed spaces

Mathematica Slovaca, 2012
M Mursaleen, S A Mohiuddine
exaly  

Probabilistic convergence transformation groups

Mathematica Slovaca, 2018
T M G Ahsanullah, GÜNTHER Jäger
exaly  

Probabilistic uniformization and probabilistic metrization of probabilistic convergence groups

Mathematica Slovaca, 2017
T M G Ahsanullah, GÜNTHER Jäger
exaly  

Probabilistic norms and convergence of random variables

Journal of Mathematical Analysis and Applications, 2003
Carlo Sempi
exaly