Results 41 to 50 of about 6,093,519 (190)

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

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

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

The New Iterative Approximating of Endpoints of Multivalued Nonexpansive Mappings in Banach Spaces

open access: yesUniversal 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

Bregman Distance and Strong Convergence of Proximal-Type Algorithms

open access: yesAbstract 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

Speed of Convergence of Time Euler Schemes for a Stochastic 2D Boussinesq Model

open access: yesMathematics, 2022
We prove that an implicit time Euler scheme for the 2D Boussinesq model on the torus D converges. The various moments of the W1,2-norms of the velocity and temperature, as well as their discretizations, were computed.
Hakima Bessaih, Annie Millet
doaj   +1 more source

Modified Iterative Schemes for a Fixed Point Problem and a Split Variational Inclusion Problem

open access: yesMathematics, 2022
In this paper, we alter Wang’s new iterative method as well as apply it to find the common solution of fixed point problem (FPP) and split variational inclusion problem (SpVIP) in Hilbert space.
Mohammad Akram   +5 more
doaj   +1 more source

Strong Convergence of Modified Halpern Iterations in CAT(0) Spaces

open access: yesFixed Point Theory and Applications, 2011
Strong convergence theorems are established for the modified Halpern iterations of nonexpansive mappings in CAT(0) spaces. Our results extend and improve the recent ones announced by Kim and Xu (2005), Hu (2008), Song and Chen (2008), Saejung (2010 ...
A. Cuntavepanit, B. Panyanak
doaj   +2 more sources

Strong convergence of approximation fixed points for nonexpansive nonself-mapping

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
Let C be a closed convex subset of a uniformly smooth Banach space E, and T:C→E a nonexpansive nonself-mapping satisfying the weakly inwardness condition such that F(T)≠∅, and f:C→C a fixed contractive mapping.
Rudong Chen, Zhichuan Zhu
doaj   +1 more source

Strong Convergence of an Implicit Algorithm in CAT(0) Spaces

open access: yesFixed Point Theory and Applications, 2011
We establish strong convergence of an implicit algorithm to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive maps in CAT spaces. Our work improves and extends several recent results from the current literature.
Hafiz Fukhar-ud-din   +2 more
doaj   +2 more sources

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