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Given a Hilbert space and a finite family of operators defined on the space, the common fixed point problem (CFPP) is the problem of finding a point in the intersection of the fixed point sets of these operators. A particular case of the problem, whe
Externí odkaz:
http://arxiv.org/abs/2410.20448
Autor:
Engström, Emil
The Dirichlet-Neumann method is a common domain decomposition method for nonoverlapping domain decomposition and the method has been studied extensively for linear elliptic equations. However, for nonlinear elliptic equations, there are only converge
Externí odkaz:
http://arxiv.org/abs/2410.14339
The aim of this paper is to study the weak convergence analysis of sequence of iterates generated by a three-operator splitting method of Davis and Yin incorporated with two-step inertial extrapolation for solving monotone inclusion problem involving
Externí odkaz:
http://arxiv.org/abs/2410.01099
Autor:
László, Szilárd Csaba
We investigate the strong convergence properties of a proximal-gradient inertial algorithm with two Tikhonov regularization terms in connection to the minimization problem of the sum of a convex lower semi-continuous function $f$ and a smooth convex
Externí odkaz:
http://arxiv.org/abs/2407.10350
Autor:
Bot, R. I., Zalinescu, C.
In this note, we demonstrate that an incorrect statement has been propagated in multiple papers, stemming from the substitution of ``lim'' with ``limsup'' for a sequence in Lemma 1.3 of the paper [J. Schu: Weak and strong convergence to fixed points
Externí odkaz:
http://arxiv.org/abs/2406.16378
A simple iterative approach for solving a set of implicit kinetic moment equations is proposed. This implicit solve is a key component in the IMEX discretization of the multi-species Bhatnagar-Gross-Krook (M-BGK) model with nontrivial collision frequ
Externí odkaz:
http://arxiv.org/abs/2404.18039
Autor:
Miyamoto, Roland
Using a Picard-like operator $T$, we prove that the iterative differential equation $-\gamma g' = g^{-1}$ with parameter $\gamma>0$ has a solution $g=h\colon[0,1]\to[0,1]$ for only one value $\gamma=\kappa\approx0.278877$, and that this solution $h$
Externí odkaz:
http://arxiv.org/abs/2404.11455
Autor:
Berinde, Vasile
We give a brief account on a basic result (Lemma \ref{lem2}) which is a very useful tool in proving various convergence theorems in the framework of the iterative approximation of fixed points of demicontractive mappings in Hilbert spaces. This Lemma
Externí odkaz:
http://arxiv.org/abs/2404.05753
Autor:
Mohammed, Lawan Bulama, Kilicman, Adem
It is generally known that in order to solve the split equality fixed-point problem (SEFPP), it is necessary to compute the norm of bounded and linear operators, which is a challenging task in real life, to address this issue, we studied the SEFPP in
Externí odkaz:
http://arxiv.org/abs/2403.19707
The main purpose of this paper is to obtain the existence and uniqueness of $L^p$-solution to quantum stochastic differential equation driven by Fermion fields with nonlocal conditions in the case of non-Lipschitz coefficients for $p>2$. The key to o
Externí odkaz:
http://arxiv.org/abs/2403.15695