@article{d0e3d1f7abd74263ad13730c5fb7afa7,
title = "An inertial Halpern-type algorithm involving monotone operators on real Banach spaces with application to image recovery problems",
abstract = "In this work, an inertial Halpern-type algorithm involving monotone operators is proposed in the setting of real Banach spaces that are 2-uniformly convex and uniformly smooth. Strong convergence of the iterates generated by the algorithm is proved to a zero of sum of two monotone operators. Furthermore, an application of the method to image recovery problems is presented. In addition, a numerical example on the classical Banach space l32(R) is presented to support the main theorem. Finally, the performance of the proposed algorithm is compared with that of some existing algorithms in the literature.",
keywords = "Convex minimization, Image recovery, Monotone, Zeros",
author = "Kanikar Muangchoo and Abubakar Adamu and Ibrahim, {Abdulkarim Hassan} and Abubakar, {Auwal Bala}",
note = "Funding Information: The authors will like to thank the referees for their esteemed comments and suggestions which helped in the improvement of the presentation of this paper. The second author acknowledges with thanks, the King Mongkut{\textquoteright}s University of Technology Thonburi{\textquoteright}s Postdoctoral Fellowship and the Center of Excellence in Theoretical and Computational Science (TaCS-CoE) for their financial support. The third and fourth authors acknowledge with thanks, the Department of Mathematics and Applied Mathematics at the Sefako Makgatho Health Sciences University. Funding Information: This research was financially supported by Rajamangala University of Technology Phra Nakhon (RMUTP) Research Scholarship. Funding Information: The authors will like to thank the referees for their esteemed comments and suggestions which helped in the improvement of the presentation of this paper. The second author acknowledges with thanks, the King Mongkut{\textquoteright}s University of Technology Thonburi{\textquoteright}s Postdoctoral Fellowship and the Center of Excellence in Theoretical and Computational Science (TaCS-CoE) for their financial support. The third and fourth authors acknowledge with thanks, the Department of Mathematics and Applied Mathematics at the Sefako Makgatho Health Sciences University. Publisher Copyright: {\textcopyright} 2022, The Author(s) under exclusive licence to Sociedade Brasileira de Matem{\'a}tica Aplicada e Computacional.",
year = "2022",
month = dec,
doi = "10.1007/s40314-022-02064-1",
language = "English",
volume = "41",
journal = "Computational and Applied Mathematics",
issn = "0101-8205",
publisher = "Birkhauser Boston",
number = "8",
}