Author:
Abass H. A.,Aphane M.,Oyewole O. K.
Abstract
AbstractWe introduce a Tseng extragradient method for solving monotone inclusion problem in Banach space. A strong convergence result of an Halpern inertial extrapolation method for solving the resolvent of sum of two monotone operators without the knowledge of the Lipschitz constant was established. Lastly, we illustrate some numerical behavior of our iterative scheme to showcase the performance of the proposed method compared to other related results in the literature.
Publisher
Springer Science and Business Media LLC
Reference33 articles.
1. Abass, H.A., Narain, O.K., Onifade, O.M.: Inertial extrapolation method for solving system of monotone variational inclusion and fixed point problems using Bregman distance approach. Nonlinear Funct. Anal. Appl. 28(2), 497–520 (2023)
2. Abass, H.A., Aremu, K.O., Jolaoso, L.O., Mewomo, O.T.: An inertial forward-backward splitting method for approximating solutions of certain optimization problem. J. Nonlinear Funct. Anal. 2020, Article ID 6 (2020)
3. Abass, H.A., Oyewole, O.K., Jolaoso, L.O., Aremu, K.O.: Modified inertial Tseng for solving variational inclusion and fixed point problems o Hadamard manifolds. Appl. Anal. (2023). https://doi.org/10.1080/00036811.2023.2256357
4. Alvarez, F., Attouch, H.: An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping. Set-Valued Anal. 9, 3–11 (2001)
5. Alvarez, F.: Weak convergence of a relaxed and inertial hybrid projection-proximal point algorithm for maximal monotone operators in Hilbert space. SIAM J. Optim. 14(3), 773–782 (2004)