Results 31 to 40 of about 427,889 (308)

Strong Whitney and strong uniform convergences on a bornology

open access: yesJournal of Mathematical Analysis and Applications, 2022
Abstract For any two metric spaces ( X , d ) , ( Y , ρ ) and a bornology B on X, we study the relationship between strong uniform convergence (introduced by Beer and Levi in [8] ) and strong Whitney convergence (introduced by A. Caserta in [15] ) on B on Y X (and C ( X , Y ) ). The relationships
Tarun Kumar Chauhan, Varun Jindal
openaire   +2 more sources

Strong Convergence for Hybrid S-Iteration Scheme

open access: yesJournal of Applied Mathematics, 2013
We establish a strong convergence for the hybrid S-iterative scheme associated with nonexpansive and Lipschitz strongly pseudocontractive mappings in real Banach spaces.
Shin Min Kang   +2 more
doaj   +1 more source

Infinite matrices and absolute almost convergence

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
In 1973, Stieglitz [5] introduced a notion of FB-Convergence which provided a wide generalization of the classical idea of almost convergence due to Lorentz [1].
Mursaleen
doaj   +1 more source

On strong convergence of arrays [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1994
In this paper we study almost sure convergence for arrays of independent and identically distributed random variables. We obtain a condition under which Marcinkiewicz's strong law holds and get a rate analogous to the law of the iterated logarithm under a condition weaker than Hu and Weber's.
openaire   +2 more sources

Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals

open access: yesFixed Point Theory and Applications, 2008
We prove a convergence theorem by the new iterative method introduced by Takahashi et al. (2007). Our result does not use Bochner integrals so it is different from that by Takahashi et al.
Saejung Satit
doaj   +2 more sources

Density by moduli and Wijsman lacunary statistical convergence of sequences of sets

open access: yesJournal of Inequalities and Applications, 2017
The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus.
Vinod K Bhardwaj, Shweta Dhawan
doaj   +1 more source

Strong Convergence of Mann’s Iteration Process in Banach Spaces

open access: yesMathematics, 2020
Mann’s iteration process for finding a fixed point of a nonexpansive mapping in a Banach space is considered. This process is known to converge weakly in some class of infinite-dimensional Banach spaces (e.g., uniformly convex Banach spaces with a ...
Hong-Kun Xu   +2 more
doaj   +1 more source

Rough statistical convergence on triple sequence of the Bernstein operator of random variables in probability [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2019
This paper aims to improve further on the work of Phu (2001), Aytar (2008), and Ghosal (2013). We propose a new apporach to extend the application area of rough statistical convergence usually used in triple sequence of the Bernstein operator of real ...
Nagarajan Subramanian   +2 more
doaj   +1 more source

On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables

open access: yesAbstract and Applied Analysis, 2014
Let an,n≥1 be a sequence of positive constants with an/n↑ and let X,Xn,n≥1 be a sequence of pairwise negatively quadrant dependent random variables. The complete convergence for pairwise negatively quadrant dependent random variables is studied under ...
Aiting Shen, Ying Zhang, Andrei Volodin
doaj   +1 more source

Cardinal Functions, Bornologies and Strong Whitney convergence [PDF]

open access: yesarXiv, 2022
Let $C(X)$ be the set of all real valued continuous functions on a metric space $(X,d)$. Caserta introduced the topology of strong Whitney convergence on bornology for $C(X)$ in [A. Caserta, Strong Whitney convergence, Filomat, 2012], which is a generalization of the topology of strong uniform convergence on bornology introduced by Beer-Levi in [Beer ...
arxiv  

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