{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:53:46Z","timestamp":1760241226877,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2019,12,14]],"date-time":"2019-12-14T00:00:00Z","timestamp":1576281600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Key Subject Program of Lingnan Normal University","award":["1171518004"],"award-info":[{"award-number":["1171518004"]}]},{"DOI":"10.13039\/501100003453","name":"Natural Science Foundation of Guangdong Province","doi-asserted-by":"publisher","award":["2018A0303070012"],"award-info":[{"award-number":["2018A0303070012"]}],"id":[{"id":"10.13039\/501100003453","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Young Innovative Talents Project in Guangdong Universities","award":["2017KQNCX125"],"award-info":[{"award-number":["2017KQNCX125"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, the original     C Q     algorithm, the relaxed     C Q     algorithm, the gradient projection method (    G P M    ) algorithm, and the subgradient projection method (    S P M    ) algorithm for the convex split feasibility problem are reviewed, and a renewed     S P M     algorithm with S-subdifferential functions to solve nonconvex split feasibility problems in finite dimensional spaces is suggested. The weak convergence theorem is established.<\/jats:p>","DOI":"10.3390\/sym11121517","type":"journal-article","created":{"date-parts":[[2019,12,16]],"date-time":"2019-12-16T05:19:38Z","timestamp":1576473578000},"page":"1517","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["S-Subgradient Projection Methods with S-Subdifferential Functions for Nonconvex Split Feasibility Problems"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4488-9433","authenticated-orcid":false,"given":"Jinzuo","family":"Chen","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang 524048, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0738-787X","authenticated-orcid":false,"given":"Mihai","family":"Postolache","sequence":"additional","affiliation":[{"name":"Center for General Education, China Medical University, Taichung 40402, Taiwan"},{"name":"Department of Mathematics and Informatics, University \u201cPolitehnica\u201d of Bucharest, 060042 Bucharest, Romania"},{"name":"Romanian Academy, Gh. Mihoc-C. Iacob Institute of Mathematical Statistics and Applied Mathematics, 050711 Bucharest, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0452-785X","authenticated-orcid":false,"given":"Yonghong","family":"Yao","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China"},{"name":"The Key Laboratory of Intelligent Information and Big Data Processing of NingXia Province, North Minzu University, Yinchuan 750021, China"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1007\/BF02142692","article-title":"A multiprojection algorithm using Bregman projections in a product space","volume":"8","author":"Censor","year":"1994","journal-title":"Numer. 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