On “A new three-step fixed point iteration scheme with strong convergence and applications” [PDF]
This note delves into the convergence analysis of several iterative methods and elucidates their behaviors. Furthermore, we demonstrate that the findings presented in “A new three-step fixed point iteration scheme with strong convergence and applications”
Rafiq, Arif
core +2 more sources
Strong convergence rates for backward Euler–Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients [PDF]
, 2013 In this work, we generalize the current theory of strong convergence rates for the backward Euler–Maruyama scheme for highly non-linear stochastic differential equations, which appear in both mathematical finance and bio-mathematics.
Szpruch, Lukasz, Mao, Xuerong
core +1 more source
On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables
Abstract 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
A Note on the Strong Convergence of Distributions
The Annals of Statistics, 1974 If a sequence of distributions converges weakly to a distribution and if the associated densities are unimodal then the sequence of density functions converges to the density of the limiting distribution. This stronger form of convergence is useful in the investigation of limiting joint distributions.
Hettmansperger, Thomas P. +1 more
openaire +3 more sources
Density by moduli and Wijsman lacunary statistical convergence of sequences of sets
Journal 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
The New Iterative Approximating of Endpoints of Multivalued Nonexpansive Mappings in Banach Spaces
Universal Journal of Mathematics and Applications, 2022 The purpose of this paper is to introduce the new iteration process to approximate endpoints of multivalued nonexpansive mappings in Banach space. We prove weak and strong convergence theorems of proposed iterative scheme under some suitable assumptions
Makbule Kaplan
doaj +1 more source
The Strong Convergence of Schrodinger Propagators [PDF]
Transactions of the American Mathematical Society, 1981 Time dependent versions of the Trotter-Kato theorem are discussed using nonstandard analysis. Both standard and nonstandard results are obtained. In particular, it is shown that if a sequence of generators converges in the strong resolvent topology at each time to a limiting generator and if the sequence of generators and limiting generator uniformly ...
openaire +1 more source
Bregman Distance and Strong Convergence of Proximal-Type Algorithms
Abstract and Applied Analysis, 2013 The purpose of this paper is to discuss some fundamental properties of Bregman distance, generalized projection operators, firmly nonexpansive mappings, and resolvent operators of set-valued monotone operators corresponding to a functional Φ(∥·∥).
Li-Wei Kuo, D. R. Sahu
doaj +1 more source
Characterizations of strong and statistical convergences
Publicationes Mathematicae Debrecen, 2010 Summary: The two main objectives of the paper are firstly to cast the concept of \(A\)-uniform integrability in the measure-theoretic sense, leading to showing that a sequence is \(A\)-strongly convergent if and only if it is \(A\)-statistically convergent and it is \(A\)-uniformly integrable.
Khan, Mohammad Kazim, Orhan, Cihan
openaire +2 more sources
Rough statistical convergence on triple sequence of the Bernstein operator of random variables in probability [PDF]
Songklanakarin 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