Results 31 to 40 of about 1,247,014 (174)

Strong convergence of solutions to nonautonomous Kolmogorov equations

open access: yes, 2015
We study a class of nonautonomous, linear, parabolic equations with unbounded coefficients on $\mathbb R^{d}$ which admit an evolution system of measures.
Lorenzi, Luca   +2 more
core   +1 more source

Strong Convergence Theorems for Nonexpansive Mapping [PDF]

open access: yesJournal of Systems Science and Complexity, 2007
Let \(C\) be a closed convex subset of a uniformly smooth Banach space \(E\) and \(T\) a nonexpansive selfmap of \(C\) with \(F(T) \neq \emptyset\). Given a point \(u \in C\) and an initial guess \(x_0 \in C\), the author proves the strong convergence of the iteration scheme defined by \(z_n = \gamma_nx_n + (1 - \gamma_n)Tx_n\), \(y_n = \beta_nx_n + (1
Su, Yongfu, Qin, Xiaolong
openaire   +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

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

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

Ninomiya-Victoir scheme: strong convergence, antithetic version and application to multilevel estimators

open access: yes, 2015
In this paper, we are interested in the strong convergence properties of the Ninomiya-Victoir scheme which is known to exhibit weak convergence with order 2. We prove strong convergence with order $1/2$.
Clément, Emmanuelle   +2 more
core   +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 Theorems for Strictly Asymptotically Pseudocontractive Mappings in Hilbert Spaces [PDF]

open access: yes, 2010
We propose a new (CQ) algorithm for strictly asymptotically pseudo-contractive mappings and obtain a strong convergence theorem for this class ofmappings in the framework of Hilbert spaces.DOI : http://dx.doi.org/10.22342/jims.16.1.29.25 ...
Nashine, H. K. (Hemant)   +1 more
core  

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.
Domlo AbdulAziz   +2 more
doaj   +2 more sources

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

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