1School of Mathematics, University of the Witwatersrand, Johannesburg 2050, South Africa 2Mathematics Institute, African University of Science and Technology, Abuja, Nigeria
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 1, pp. 65-90
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Chibueze Christian Okeke; Abdulmalik Usman Bello; Chibueze Christian Okeke; Abdulmalik Usman Bello. Strong convergence method for monotone inclusion problem with alternating inertial steps. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 1, pp. 65-90. http://geodesic.mathdoc.fr/item/AMUC_2023_92_1_a5/
@article{AMUC_2023_92_1_a5,
author = {Chibueze Christian Okeke and Abdulmalik Usman Bello and Chibueze Christian Okeke and Abdulmalik Usman Bello},
title = { Strong convergence method for monotone inclusion problem with alternating inertial steps},
journal = {Acta mathematica Universitatis Comenianae},
pages = {65--90},
year = {2023},
volume = {92},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_1_a5/}
}
TY - JOUR
AU - Chibueze Christian Okeke
AU - Abdulmalik Usman Bello
AU - Chibueze Christian Okeke
AU - Abdulmalik Usman Bello
TI - Strong convergence method for monotone inclusion problem with alternating inertial steps
JO - Acta mathematica Universitatis Comenianae
PY - 2023
SP - 65
EP - 90
VL - 92
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2023_92_1_a5/
ID - AMUC_2023_92_1_a5
ER -
%0 Journal Article
%A Chibueze Christian Okeke
%A Abdulmalik Usman Bello
%A Chibueze Christian Okeke
%A Abdulmalik Usman Bello
%T Strong convergence method for monotone inclusion problem with alternating inertial steps
%J Acta mathematica Universitatis Comenianae
%D 2023
%P 65-90
%V 92
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2023_92_1_a5/
%F AMUC_2023_92_1_a5
This article proposes a strong convergence of the forward-backward splitting method for a monotone inclusion problem with alternated inertial extrapolation step in a real Hilbert space. The proposed method converges strongly under some suitable and easy to verify assumptions. The advantage of our iterative scheme is that the single-valued operator is Lipschitz continuous monotone rather than cocoercive and Lipschitz constant does not require to be known. Finally, we give some numerical experiments of the proposed algorithm to demonstrate the advantages of our algorithm over the existing related ones.
