Approximation method for monotone inclusion problems in real Banach spaces with applications

Author:

Adamu AbubakarORCID,Kitkuan DuangkamonORCID,Kumam PoomORCID,Padcharoen AnantachaiORCID,Seangwattana Thidaporn

Abstract

AbstractIn this paper, we introduce an inertial Halpern-type iterative algorithm for approximating a zero of the sum of two monotone operators in the setting of real Banach spaces that are 2-uniformly convex and uniformly smooth. Strong convergence of the sequence generated by our proposed algorithm is established by means of some new geometric inequalities proved in this paper that are of independent interest. Furthermore, numerical simulations in image restoration and compressed sensing problems are also presented. Finally, the performance of the proposed method is compared with that of some existing methods in the literature.

Funder

National Science, Research and Innovation Fund

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference51 articles.

1. Kitkuan, D., Kumam, P., Martínez-Moreno, J.: Generalized Halpern-type forward–backward splitting methods for convex minimization problems with application to image restoration problems. Optimization 69 1557–1581 (2020)

2. Adamu, A., Kitkuan, D., Padcharoen, A., Chidume, C.E., Kumam, P.: Inertial viscosity-type iterative method for solving inclusion problems with applications. Math. Comput. Simul. 194, 445–459 (2022)

3. Yodjai, P., Kumam, P., Kitkuan, D., Jirakitpuwapat, W., Plubtieng, S.: The Halpern approximation of three operators splitting method for convex minimization problems with an application to image inpainting. Bangmod Int. J. Math. Comput. Sci. 5(2), 58–75 (2019)

4. Ibrahim, A.H., Deepho, J., Abubakar, A.B., Adamu, A.: A three-term Polak–Ribière–Polyak derivative-free method and its application to image restoration. Sci. Afr. 13, e00880 (2021)

5. Abubakar, A.B., Kumam, P., Awwal, A.M.: A modified self-adaptive conjugate gradient method for solving convex constrained monotone nonlinear equations with applications to signal recovery problems. Bangmod Int. J. Math. Comput. Sci. 5(2), 1–26 (2019)

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