@article{8a3feb52444e4d37af2a40eb07c121f7,
title = "APPROXIMATION OF ZEROS OF SUM OF MONOTONE MAPPINGS WITH APPLICATIONS TO VARIATIONAL INEQUALITY AND IMAGE RESTORATION PROBLEMS",
abstract = "In this paper, an inertial Halpern-type forward backward iterative algorithm for approximating solution of a monotone inclusion problem whose solution is also a fixed point of some nonlinear mapping is introduced and studied. Strong convergence theorem is established in a real Hilbert space. Furthermore, our theorem is applied to variational inequality problems, convex minimization problems and image restoration problems. Finally, numerical illustrations are presented to support the main theorem and its applications.",
keywords = "Monotone, fixed point, image restoration, nonexpansive",
author = "Abubakar Adamu and Jitsupa Deepho and Ibrahim, {Abdulkarim Hassan} and Abubakar, {Auwal Bala}",
note = "Funding Information: Acknowledgements: This research is funded by King Mongkuts University of Technology North Bangkok (Contract no. KMUTNB-63-KNOW-016). The last author acknowledges with thanks, the Department of Mathematics and Applied Mathematics at the Sefako Makgatho Health Sciences University. Funding Information: This research is funded by King Mongkuts University of Technology North Bangkok (Contract no. KMUTNB-63-KNOW-016). The last author acknowledges with thanks, the Department of Mathematics and Applied Mathematics at the Sefako Makgatho Health Sciences University. Publisher Copyright: {\textcopyright} 2021. Kyungnam University Press. All Rights Reserved.",
year = "2021",
doi = "10.22771/nfaa.2021.26.02.12",
language = "English",
volume = "26",
pages = "411--432",
journal = "Nonlinear Functional Analysis and Applications",
issn = "1229-1595",
publisher = "Kyungnam University Press",
number = "2",
}