{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:21:18Z","timestamp":1760149278921,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2023,7,28]],"date-time":"2023-07-28T00:00:00Z","timestamp":1690502400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Research funding","award":["88106003214"],"award-info":[{"award-number":["88106003214"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The purpose of this paper is to find a common element of the fixed point set of a nonexpansive mapping and the set of solutions of the general split variational inclusion problem in symmetric Hilbert spaces by using the inertial viscosity iterative method. Some strong convergence theorems of the proposed algorithm are demonstrated. As applications, we use our results to study the split feasibility problem and the split minimization problem. Finally, the numerical experiments are presented to illustrate the feasibility and effectiveness of our theoretical findings, and our results extend and improve many recent ones.<\/jats:p>","DOI":"10.3390\/sym15081502","type":"journal-article","created":{"date-parts":[[2023,7,28]],"date-time":"2023-07-28T07:35:24Z","timestamp":1690529724000},"page":"1502","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Inertial Viscosity Approximation Methods for General Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces"],"prefix":"10.3390","volume":"15","author":[{"given":"Chanjuan","family":"Pan","sequence":"first","affiliation":[{"name":"Department of Basic Teaching, Zhejiang University of Water Resources and Electric Power, Hangzhou 310018, China"}]},{"given":"Kunyang","family":"Wang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Rare Earth Optoelectronic Materials and Devices of Zhejiang Province, Institute of Optoelectronic Materials and Devices, China Jiliang University, Hangzhou 310018, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1088\/0266-5611\/18\/2\/310","article-title":"Iterative oblique projection onto convex sets and the split feasibility problem","volume":"18","author":"Byrne","year":"2002","journal-title":"Inverse Probl."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"877","DOI":"10.1137\/0314056","article-title":"Monotone operator and the proximal point algorithm","volume":"14","author":"Rockafellar","year":"2011","journal-title":"SIAM J. 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