{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:34:41Z","timestamp":1772296481119,"version":"3.50.1"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"4","license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2010]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The paper considers a method for solving nonlinear ill-posed problems\n        with monotone operators. The approach combines the Lavrentiev method, the fixedpoint\n        method, and the balancing principle for selection of the regularization parameter.\n        The method\u2019s optimality has been proved for some set of smooth solutions. A test\n        example proves the efficiency of the proposed method.<\/jats:p>","DOI":"10.2478\/cmam-2010-0026","type":"journal-article","created":{"date-parts":[[2013,4,15]],"date-time":"2013-04-15T16:10:16Z","timestamp":1366042216000},"page":"444-454","source":"Crossref","is-referenced-by-count":43,"title":["Lavrentiev Regularization and Balancing Principle for Solving Ill-Posed Problems with Monotone Operators"],"prefix":"10.2478","volume":"10","author":[{"given":"E.V.","family":"Semenova","sequence":"first","affiliation":[{"name":"1Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshscenkivska Str. 3, 01601 Kiev, Ukraine."}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/10\/4\/article-p444.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2010-0026\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:21:46Z","timestamp":1619101306000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/10\/4\/article-p444.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"references-count":0,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2010-0026","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2010]]}}}