{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:17Z","timestamp":1740134537408,"version":"3.37.3"},"reference-count":26,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11071169","09ZZ133"],"award-info":[{"award-number":["11071169","09ZZ133"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Innovation Program of Shanghai Municipal Education Commission","award":["11071169","09ZZ133"],"award-info":[{"award-number":["11071169","09ZZ133"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>The purpose of this paper is to present two new forward-backward splitting schemes with relaxations and errors for finding a common element of the set of solutions to the variational inclusion problem with two accretive operators and the set of fixed points of nonexpansive mappings in infinite-dimensional Banach spaces. Under mild conditions, some weak and strong convergence theorems for approximating this common elements are proved. The methods in the paper are novel and different from those in the early and recent literature. Our results can be viewed as the improvement, supplementation, development, and extension of the corresponding results in the very recent literature.<\/jats:p>","DOI":"10.1155\/2014\/943753","type":"journal-article","created":{"date-parts":[[2014,3,13]],"date-time":"2014-03-13T17:04:02Z","timestamp":1394730242000},"page":"1-11","source":"Crossref","is-referenced-by-count":1,"title":["Weak and Strong Convergence Theorems for Zeroes of Accretive Operators in Banach Spaces"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6177-9252","authenticated-orcid":true,"given":"Yanlai","family":"Song","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shanghai Normal University, Shanghai 200234, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Luchuan","family":"Ceng","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shanghai Normal University, Scientific Computing Key Laboratory of Shanghai University, Shanghai 200234, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1999.6424"},{"volume":"10","year":"1996","series-title":"Nonconvex Optimization and Its Applications","key":"2"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(01)00203-6"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.2000.6919"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1998.6127"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1007\/BF02392210"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s10483-008-0502-y"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.4067\/S0719-06462011000100002"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1006\/jath.2000.3493"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1186\/1029-242X-2013-199"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-012-0232-1"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.08.062"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/567948"},{"issue":"3","key":"25","first-page":"83","volume":"15","year":"2008","journal-title":"Communications on Applied Nonlinear Analysis"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1155\/FPTA\/2006\/35390"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2006.01.012"},{"issue":"1","key":"12","first-page":"95","volume":"9","year":"2008","journal-title":"Journal of Nonlinear and Convex Analysis"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/109236"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1186\/1687-1812-2013-148"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(91)90200-K"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2006.08.032"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1993.1309"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1968-11983-4"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1007\/BF02764907"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(02)00175-0"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2004.04.059"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/943753.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/943753.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/943753.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,29]],"date-time":"2016-07-29T07:37:10Z","timestamp":1469777830000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/943753\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":26,"alternative-id":["943753","943753"],"URL":"https:\/\/doi.org\/10.1155\/2014\/943753","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}