Results 41 to 50 of about 1,649 (150)

Asymptotic behavior of metric spaces at infinity [PDF]

, 2017
A new sequential approach to investigations of the structure of metric spaces at infinity is proposed. Criteria for the finiteness and boundedness of metric spaces at infinity are found.Запропоновано новий секвенціальний підхід до дослідження структури ...
Bilet, V.V., Dovgoshey, O.A.
core   +2 more sources

On Asymptotically Lacunary Statistical Equivalent Set Sequences

Journal of Mathematics, 2013
This paper presents three definitions which are natural combination of the definitions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, and Wijsman convergence.
Uğur Ulusu, Fatih Nuray
doaj   +1 more source

Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence

Applied General Topology, 2001
We study the double Fell topology when this hypertopology is constructed over a quasi-pseudo-metric space. In particular, its relationship with the Wijsman hypertopology is studied.
Jesús Rodríguez-López
doaj   +1 more source

Strongly I_2-lacunary convergence and I_2-lacunary cauchy double sequences of sets [PDF]

, 2016
In this paper, we study the concepts of the Wijsman strongly I2-lacunary convergence, Wijsman strongly I∗_2 -lacunary convergence, Wijsman strongly I_2-lacunary Cauchy double sequences and Wijsman strongly I∗_2 -lacunary Cauchy double sequences of sets ...
Dündar, Erdinç, Pancaroğlu, Nimet, Ulusu, Uğur   +2 more
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Bombay hypertopologies

Applied General Topology, 2003
Recently it was shown that, in a metric space, the upper Wijsman convergence can be topologized with the introduction of a new far-miss topology. The resulting Wijsman topology is a mixture of the ball topology and the proximal ball topology.
Giuseppe Di Maio, Enrico Meccariello, Somashekhar Naimpally   +2 more
doaj   +1 more source

ON λ-ASYMPTOTICALLY WIJSMAN GENERALIZED STATISTICAL CONVERGENCE OF SEQUENCES OF SETS [PDF]

Tatra Mountains Mathematical Publications, 2013
ABSTRACT The concept of Wijsman statistical convergence was defined by [Nuray, F.-Rhoades, B. E.: Statistical convergence of sequences of sets, Fasc. Math. 49 (2012), 1-9]. In this paper we present three definitions which are a natural combination of the definition of asymptotic equivalence, statistical convergence, generalized statistical ...
Hazarika, Bipan, Esi, Ayhan
openaire   +1 more source

Convergence of Multiset Sequences

Journal of New Theory, 2021
In this paper, we introduce the concept of the multiset sequence and its convergence. A few special examples of multiset sequences, e.g. a prime identifier, are also given.
Sunil Jacob John, Suma Pachilangode
doaj  

Asymptotically J_σ-Equivalence of Sequences of Sets

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
In thisstudy, we introduce the concepts of Wijsman asymptotically J-invariant equivalence (WLJσ) ,Wijsman asymptotically strongly p-invariant equivalence([WLVσ)]p) and Wijsman asymptotically J*-invariant equivalence(WLJ*σ).
Uğur Ulusu, Esra Gülle
doaj   +1 more source

Asymptotically Lacunary Statistical Equivalence of Double Sequences of Sets

Demonstratio Mathematica, 2016
The concepts of Wijsman asymptotically equivalence, Wijsman asymptotically statistically equivalence, Wijsman asymptotically lacunary equivalence and Wijsman asymptotically lacunary statistical equivalence for sequences of sets were studied by Ulusu and ...
Nuray F., Patterson R. F., Dündar E.
doaj   +1 more source

Asymptotically I-Cesaro equivalence of sequences of sets

Universal Journal of Mathematics and Applications, 2018
In this paper, we defined concepts of asymptotically $\mathcal{I}$-Cesaro equivalence and investigate the relationships between the concepts of asymptotically strongly $\mathcal{I}$-Cesaro equivalence, asymptotically strongly $\mathcal{I}$-lacunary ...
Erdinç Dundar, Uğur Ulusu
doaj   +1 more source