Results 51 to 60 of about 1,247,014 (174)

Strong Convergence of an Iterative Algorithm for Hierarchical Problems

open access: yesAbstract and Applied Analysis, 2014
We introduce the triple hierarchical problem over the solution set of the variational inequality problem and the fixed point set of a nonexpansive mapping. The strong convergence of the algorithm is proved under some mild conditions.
Poom Kumam, Thanyarat Jitpeera
doaj   +1 more source

Some inequalities related to strong convergence of Riesz logarithmic means

open access: yesJournal of Inequalities and Applications, 2020
In this paper we derive a new strong convergence theorem of Riesz logarithmic means of the one-dimensional Vilenkin–Fourier (Walsh–Fourier) series. The corresponding inequality is pointed out and it is also proved that the inequality is in a sense sharp,
D. Lukkassen   +3 more
doaj   +1 more source

Strong convergence theorem for strict pseudo-contractions in Hilbert spaces

open access: yesJournal of Inequalities and Applications, 2016
In this paper, inspired by Hussain et al. (Fixed Point Theory Appl. 2015:17, 2015), we study a modified Mann method to approximate strongly fixed points of strict pseudo-contractive mappings. In (Hussain et al. in Fixed Point Theory Appl.
Giuseppe Marino   +2 more
doaj   +1 more source

Strong Convergence of Viscosity Iteration Methods for Nonexpansive Mappings

open access: yesAbstract and Applied Analysis, 2009
We propose a new viscosity iterative scheme for finding fixed points of nonexpansive mappings in a reflexive Banach space having a uniformly Gâteaux differentiable norm and satisfying that every weakly compact convex subset of the space has the fixed ...
Jong Soo Jung
doaj   +1 more source

The Strong Convergence of Schrodinger Propagators [PDF]

open access: yesTransactions 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

Strong Convergence Theorems for Lipschitzian Demicontraction Semigroups in Banach Spaces

open access: yesFixed Point Theory and Applications, 2011
The purpose of this paper is to introduce and study the strong convergence problem of the explicit iteration process for a Lipschitzian and demicontraction semigroups in arbitrary Banach spaces.
Cho YeolJe   +3 more
doaj   +2 more sources

Strong Convergence in a Product Space [PDF]

open access: yesProceedings of the American Mathematical Society, 1962
The purpose of this note is to present a certain necessary and sufficient condition for strong convergence in Lp over a product space. This result is formulated as Theorem 1 below. Theorem 1 includes as a special case a well-known compactness condition of M. Riesz, which we state in slightly different form as Theorem 2.
openaire   +1 more source

Strong topologies for multiplier convergent series [PDF]

open access: yesProyecciones (Antofagasta), 2017
P. Dierolf has shown that there is a strongest locally convex polar topology which has the same subseries (bounded multiplier) convergent series as the weak topology, and I. Tweddle has shown that there is a strongest locally convex topology which has the same subseries convergent series as the weak topology. We establish the analogues of these results
openaire   +2 more sources

Characterizations of strong and statistical convergences

open access: yesPublicationes 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

Concordant Convergence Empirics [PDF]

open access: yes
We present a new model to test the convergence hypothesis based on the ideas of concordance and then employ the model to test empirically for GDP per capita convergence across 97 countries.
Don J Webber, Paul White
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