Results 61 to 70 of about 4,822 (250)

A semilocal convergence analysis for the method of tangent parabolas

open access: yesJournal of Numerical Analysis and Approximation Theory, 2005
We present a semilocal convergence analysis for the method of tangent parabolas (Euler-Chebyshev) using a combination of Lipschitz and center Lipschitz conditions on the Fréchet derivatives involved.
Ioannis K. Argyros
doaj   +2 more sources

ПРЕОБРАЗОВАНИЕ ДАНКЛЯ ФУНКЦИЙ, УДОВЛЕТВОРЯЮЩИХ УСЛОВИЮ ЛИПШИЦА

open access: yesПроблемы анализа, 2007
The Dunkl transform of functions satisfying certain Lipschitz conditions is studied in this paper. The analogue of the theorem of E. Titchmarsh about the description of image under Dunkl transform of functions satisfying certain Lipschitz conditions is ...
БЕЛКИНА Е.С.
doaj  

Analysis of a Novel Time‐Continuous Dimer Growth Model Describing One Possible Cause of Alzheimer's Disease and a Time‐Discretization for Its Numerical Simulation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley   +1 more source

Convergence Conditions for the Secant Method

open access: yesCubo, 2010
We provide new sufficient convergence conditions for the convergence of the Secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K Argyros   +1 more
doaj  

Nonsmooth analysis and optimization on partially ordered vector spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
doaj   +1 more source

Iterated commutators of multilinear Calderón–Zygmund maximal operators on some function spaces

open access: yesJournal of Inequalities and Applications, 2019
Let T∗ $T^{*}$ be a multilinear Calderón–Zygmund maximal operator. In this paper, we study iterated commutators of T∗ $T^{*}$ and pointwise multiplication with functions in Lipschitz spaces.
Zengyan Si, Pu Zhang
doaj   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Fast and Robust Diffusion Posterior Sampling for MR Image Reconstruction Using the Preconditioned Unadjusted Langevin Algorithm

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose The Unadjusted Langevin Algorithm (ULA) in combination with diffusion models can generate high quality MRI reconstructions with uncertainty estimation from highly undersampled k‐space data. However, sampling methods such as diffusion posterior sampling (DPS) or likelihood annealing suffer from long reconstruction times and the need for
Moritz Blumenthal   +3 more
wiley   +1 more source

Strong Convergence of a Modified Euler—Maruyama Method for Mixed Stochastic Fractional Integro—Differential Equations with Local Lipschitz Coefficients

open access: yesFractal and Fractional
This paper presents a modified Euler—Maruyama (EM) method for mixed stochastic fractional integro—differential equations (mSFIEs) with Caputo—type fractional derivatives whose coefficients satisfy local Lipschitz and linear growth conditions.
Zhaoqiang Yang, Chenglong Xu
doaj   +1 more source

Nonlocal evolution inclusions under weak conditions

open access: yesAdvances in Difference Equations, 2018
We study evolution inclusions given by multivalued perturbations of m-dissipative operators with nonlocal initial conditions. We prove the existence of solutions.
Shamas Bilal   +4 more
doaj   +1 more source

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