{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T11:24:34Z","timestamp":1771673074231,"version":"3.50.1"},"reference-count":41,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,8,23]],"date-time":"2024-08-23T00:00:00Z","timestamp":1724371200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004944","name":"Naresuan University (NU) and National Science, Research and Innovation Fund (NRMF)","doi-asserted-by":"publisher","award":["R2567B011"],"award-info":[{"award-number":["R2567B011"]}],"id":[{"id":"10.13039\/501100004944","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004944","name":"Naresuan University (NU) and National Science, Research and Innovation Fund (NRMF)","doi-asserted-by":"publisher","award":["B41G670027"],"award-info":[{"award-number":["B41G670027"]}],"id":[{"id":"10.13039\/501100004944","id-type":"DOI","asserted-by":"publisher"}]},{"name":"NSRF","award":["R2567B011"],"award-info":[{"award-number":["R2567B011"]}]},{"name":"NSRF","award":["B41G670027"],"award-info":[{"award-number":["B41G670027"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This paper presents the Mann-type inertial accelerated subgradient extragradient algorithm with non-monotonic step sizes for solving the split equilibrium and fixed point problems relating to pseudomonotone and Lipschitz-type continuous bifunctions and nonexpansive mappings in the framework of real Hilbert spaces. By sufficient conditions on the control sequences of the parameters of concern, the strong convergence theorem to support the proposed algorithm, which involves neither prior knowledge of the Lipschitz constants of bifunctions nor the operator norm of the bounded linear operator, is demonstrated. Some numerical experiments are performed to show the efficacy of the proposed algorithm.<\/jats:p>","DOI":"10.3390\/sym16091099","type":"journal-article","created":{"date-parts":[[2024,8,23]],"date-time":"2024-08-23T12:53:19Z","timestamp":1724417599000},"page":"1099","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Mann-Type Inertial Accelerated Subgradient Extragradient Algorithm for Minimum-Norm Solution of Split Equilibrium Problems Induced by Fixed Point Problems in Hilbert Spaces"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2934-8110","authenticated-orcid":false,"given":"Manatchanok","family":"Khonchaliew","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Lampang Rajabhat University, Lampang 52100, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kunlanan","family":"Khamdam","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6539-7107","authenticated-orcid":false,"given":"Narin","family":"Petrot","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand"},{"name":"Centre of Excellence in Nonlinear Analysis and Optimization, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,8,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1186\/1687-1812-2014-208","article-title":"Split hierarchical variational inequality problems and related problems","volume":"2014","author":"Ansari","year":"2014","journal-title":"Fixed Point Theory Appl."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1007\/s10107-015-0967-1","article-title":"Convergence analysis of iterative methods for nonsmooth convex optimization over fixed point sets of quasi-nonexpansive mappings","volume":"159","author":"Iiduka","year":"2016","journal-title":"Math. 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