Results 41 to 50 of about 118,963 (173)

An inertially constructed forward–backward splitting algorithm in Hilbert spaces

Advances in Difference Equations, 2021
In this paper, we develop an iterative algorithm whose architecture comprises a modified version of the forward–backward splitting algorithm and the hybrid shrinking projection algorithm.
Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Parinya Sa Ngiamsunthorn, Attapol Kaewkhao   +4 more
doaj   +1 more source

Bounded Perturbation Resilience of Two Modified Relaxed CQ Algorithms for the Multiple-Sets Split Feasibility Problem

Axioms, 2021
In this paper, we present some modified relaxed CQ algorithms with different kinds of step size and perturbation to solve the Multiple-sets Split Feasibility Problem (MSSFP).
Yingying Li, Yaxuan Zhang
doaj   +1 more source

Strong and weak convergence theorems for general mixed equilibrium problems and variational inequality problems and fixed point problems in Hilbert spaces

Journal of Computational and Applied Mathematics, 2013
In this paper, we introduce two iterative algorithms for finding a common element of the set of solutions of finite general mixed equilibrium problems and the set of solutions of finite variational inequalities for inverse strongly monotone mappings and the set of common fixed points of an asymptotically k-strictly pseudocontractive mapping in the ...
Gang Cai, Shangquan Bu
openaire   +1 more source

Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces [PDF]

Fixed Point Theory and Applications, 2017
AbstractIn this paper, we consider a type of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces that are the sum of monotone operators and fixed point problems. By assuming the existence of solutions, we provide a suitable algorithm for finding a solution point.
Montira Suwannaprapa, Narin Petrot, Suthep Suantai   +2 more
openaire   +2 more sources

Strong asymptotics for Jacobi polynomials with varying nonstandard parameters [PDF]

, 2004
Strong asymptotics on the whole complex plane of a sequence of monic Jacobi polynomials $P_n^{(\alpha_n, \beta_n)}$ is studied, assuming that $$ \lim_{n\to\infty} \frac{\alpha_n}{n}=A, \qquad \lim_{n\to\infty} \frac{\beta _n}{n}=B, $$ with $A$ and $B ...
A. A. Gonchar, A. B. J. Kuijlaars, A. B. J. Kuijlaars, A. B. J. Kuijlaars, A. B. J. Kuijlaars, A. Fokas, A. I. Aptekarev, A. Martínez-Finkelshtein, A. Martínez-Finkelshtein, C. Bosbach, C. Pommerenke, D. S. Moak, E. B. Saff, F. W. J. Olver, G. Szegö, H. Dette, H. Stahl, J. Baik, K. Driver, K. Driver, K. Driver, K. Strebel, L.-C. Chen, M. Abramowitz, N. M. Temme, P. A. Deift, P. Deift, P. Deift, P. Deift, P. Duren, P. Duren, S. Kamvissis, W. Gawronski   +32 more
core   +4 more sources

An inertial parallel algorithm for a finite family of G-nonexpansive mappings with application to the diffusion problem

Advances in Difference Equations, 2021
For finding a common fixed point of a finite family of G-nonexpansive mappings, we implement a new parallel algorithm based on the Ishikawa iteration process with the inertial technique. We obtain the weak convergence theorem of this algorithm in Hilbert
Phakdi Charoensawan, Damrongsak Yambangwai, Watcharaporn Cholamjiak, Raweerote Suparatulatorn   +3 more
doaj   +1 more source

Representing Functions in H² on the Kepler Manifold via WPOAFD Based on the Rational Approximation of Holomorphic Functions

Mathematics, 2022
The central problem of this study is to represent any holomorphic and square integrable function on the Kepler manifold in the series form based on Fourier analysis.
Zeyuan Song, Zuoren Sun
doaj   +1 more source

Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings

Journal of Applied Mathematics, 2012
Very recently, Moudafi (2011) introduced an algorithm with weak convergence for the split common fixed-point problem. In this paper, we will continue to consider the split common fixed-point problem.
Jing Zhao, Songnian He
doaj   +1 more source

Infinite-dimensional representations of the rotation group and Dirac's monopole problem

, 2005
Within the context of infinite-dimensional representations of the rotation group the Dirac monopole problem is studied in details. Irreducible infinite-dimensional representations, being realized in the indefinite metric Hilbert space, are given by ...
Barrera-Rivera, K.A., Calixto, S., Richa, A.M., Rosete-Aguilar, M., Sanchez-Marin, F.J., Sanchez-Morales, M.E.   +5 more
core   +1 more source

The Forward-Backward-Forward Method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces

, 2020
Tseng's forward-backward-forward algorithm is a valuable alternative for Korpelevich's extragradient method when solving variational inequalities over a convex and closed set governed by monotone and Lipschitz continuous operators, as it requires in ...
Bot, Radu Ioan, Csetnek, Ernö Robert, Vuong, Phan Tu   +2 more
core   +1 more source