--- res: bibo_abstract: - In this paper, we consider reflected three-operator splitting methods for monotone inclusion problems in real Hilbert spaces. To do this, we first obtain weak convergence analysis and nonasymptotic O(1/n) convergence rate of the reflected Krasnosel'skiĭ-Mann iteration for finding a fixed point of nonexpansive mapping in real Hilbert spaces under some seemingly easy to implement conditions on the iterative parameters. We then apply our results to three-operator splitting for the monotone inclusion problem and consequently obtain the corresponding convergence analysis. Furthermore, we derive reflected primal-dual algorithms for highly structured monotone inclusion problems. Some numerical implementations are drawn from splitting methods to support the theoretical analysis.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Olaniyi S. foaf_name: Iyiola, Olaniyi S. foaf_surname: Iyiola - foaf_Person: foaf_givenName: Cyril D. foaf_name: Enyi, Cyril D. foaf_surname: Enyi - foaf_Person: foaf_givenName: Yekini foaf_name: Shehu, Yekini foaf_surname: Shehu foaf_workInfoHomepage: http://www.librecat.org/personId=3FC7CB58-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0001-9224-7139 bibo_doi: 10.1080/10556788.2021.1924715 dct_date: 2021^xs_gYear dct_identifier: - UT:000650507600001 dct_isPartOf: - http://id.crossref.org/issn/1055-6788 - http://id.crossref.org/issn/1029-4937 dct_language: eng dct_publisher: Taylor and Francis@ dct_title: Reflected three-operator splitting method for monotone inclusion problem@ ...