{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T20:40:25Z","timestamp":1772138425892,"version":"3.50.1"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T00:00:00Z","timestamp":1597190400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T00:00:00Z","timestamp":1597190400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2020,9]]},"DOI":"10.1007\/s10957-020-01734-6","type":"journal-article","created":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T08:04:25Z","timestamp":1597219465000},"page":"759-778","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Demiclosedness Principles for Generalized Nonexpansive Mappings"],"prefix":"10.1007","volume":"186","author":[{"given":"Sedi","family":"Bartz","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1275-7831","authenticated-orcid":false,"given":"Rub\u00e9n","family":"Campoy","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5053-3054","authenticated-orcid":false,"given":"Hung M.","family":"Phan","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,8,12]]},"reference":[{"key":"1734_CR1","doi-asserted-by":"publisher","first-page":"660","DOI":"10.1090\/S0002-9904-1968-11983-4","volume":"74","author":"FE Browder","year":"1968","unstructured":"Browder, F.E.: Semicontractive and semiaccretive nonlinear mappings in Banach spaces. Bull. Am. Math. Soc. 74, 660\u2013665 (1968)","journal-title":"Bull. Am. Math. Soc."},{"key":"1734_CR2","first-page":"101","volume":"22","author":"J Garcia-Falset","year":"1996","unstructured":"Garcia-Falset, J., Sims, B., Smyth, M.A.: The demiclosedness principle for mappings of asymptotically nonexpansive type. Houst. J. Math. 22, 101\u2013108 (1996)","journal-title":"Houst. J. Math."},{"issue":"5","key":"1734_CR3","doi-asserted-by":"publisher","first-page":"645","DOI":"10.1016\/S0893-9659(00)00207-X","volume":"14","author":"G Li","year":"2001","unstructured":"Li, G., Kim, J.K.: Demiclosedness principle and asymptotic behavior for nonexpansive mappings in metric spaces. Appl. Math. Lett. 14(5), 645\u2013649 (2001)","journal-title":"Appl. Math. Lett."},{"issue":"2","key":"1734_CR4","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1006\/jmaa.2000.7257","volume":"256","author":"MO Osilike","year":"2001","unstructured":"Osilike, M.O., Udomene, A.: Demiclosedness principle and convergence theorems for strictly pseudocontractive mappings of Browder\u2013Petryshyn type. J. Math. Anal. Appl. 256(2), 431\u2013445 (2001)","journal-title":"J. Math. Anal. Appl."},{"issue":"9","key":"1734_CR5","doi-asserted-by":"publisher","first-page":"3140","DOI":"10.1016\/j.na.2008.04.017","volume":"70","author":"H Zhou","year":"2009","unstructured":"Zhou, H.: Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces. Nonlinear Anal. Theory Methods Appl. 70(9), 3140\u20133145 (2009)","journal-title":"Nonlinear Anal. Theory Methods Appl."},{"key":"1734_CR6","series-title":"Springer Proceedings in Mathematics & Statistics","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/978-1-4614-7621-4_2","volume-title":"Computational and Analytical Mathematics","author":"HH Bauschke","year":"2013","unstructured":"Bauschke, H.H.: New demiclosedness principles for (firmly) nonexpansive operators. In: Bailey, D., et al. (eds.) Computational and Analytical Mathematics. Springer Proceedings in Mathematics & Statistics, vol. 50, pp. 19\u201328. Springer, New York (2013)"},{"key":"1734_CR7","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1090\/S0002-9947-1956-0084194-4","volume":"82","author":"J Douglas","year":"1956","unstructured":"Douglas, J., Rachford, H.H.: On the numerical solution of heat conduction problems in two and three space variables. Trans. Am. Math. Soc. 82, 421\u2013439 (1956)","journal-title":"Trans. Am. Math. Soc."},{"issue":"6","key":"1734_CR8","doi-asserted-by":"publisher","first-page":"964","DOI":"10.1137\/0716071","volume":"16","author":"PL Lions","year":"1979","unstructured":"Lions, P.L., Mercier, B.: Splitting algorithms for the sum of two nonlinear operators. SIAM J. Numer. Anal. 16(6), 964\u2013979 (1979)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"1734_CR9","doi-asserted-by":"publisher","first-page":"1118","DOI":"10.1137\/19M1308451","volume":"58","author":"MN B\u00f9i","year":"2020","unstructured":"B\u00f9i, M.N., Combettes, P.L.: The Douglas\u2013Rachford Algorithm converges only weakly. SIAM J. Control Optim. 58(2), 1118\u20131120 (2020)","journal-title":"SIAM J. Control Optim."},{"issue":"1","key":"1734_CR10","doi-asserted-by":"publisher","first-page":"280","DOI":"10.1137\/100788100","volume":"49","author":"BF Svaiter","year":"2011","unstructured":"Svaiter, B.F.: On weak convergence of the Douglas\u2013Rachford method. SIAM J. Control Optim. 49(1), 280\u2013287 (2011)","journal-title":"SIAM J. Control Optim."},{"key":"1734_CR11","unstructured":"Bauschke, H.H., Ouyang, H., Wang, X.: On circumcenter mappings induced by nonexpansive operators (2018). arXiv:1811.11420"},{"issue":"4","key":"1734_CR12","doi-asserted-by":"publisher","first-page":"2697","DOI":"10.1137\/18M121160X","volume":"29","author":"MN Dao","year":"2019","unstructured":"Dao, M.N., Phan, H.M.: Adaptive Douglas\u2013Rachford splitting algorithm for the sum of two operators. SIAM J. Optim. 29(4), 2697\u20132724 (2019)","journal-title":"SIAM J. Optim."},{"key":"1734_CR13","unstructured":"Bartz, S., Dao, M.N., Phan, H.M.: Conical averagedness and convergence analysis of fixed point algorithms (2019). arXiv:1910.14185"},{"key":"1734_CR14","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-020-01500-6","author":"HH Bauschke","year":"2020","unstructured":"Bauschke, H.H., Moursi, W.M., Wang, X.: Generalized monotone operators and their averaged resolvents. Math. Program. (2020). https:\/\/doi.org\/10.1007\/s10107-020-01500-6","journal-title":"Math. Program."},{"key":"1734_CR15","unstructured":"Giselsson, P., Moursi, W. M.: On compositions of special cases of Lipschitz continuous operators (2019). arXiv:1912.13165"},{"key":"1734_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-48311-5","volume-title":"Convex Analysis and Monotone Operator Theory in Hilbert Spaces","author":"HH Bauschke","year":"2017","unstructured":"Bauschke, H.H., Combettes, P.L.: Convex Analysis and Monotone Operator Theory in Hilbert Spaces, 2nd edn. Springer, Berlin (2017)","edition":"2"},{"issue":"2","key":"1734_CR17","doi-asserted-by":"publisher","first-page":"731","DOI":"10.1137\/S0363012903427336","volume":"43","author":"PL Combettes","year":"2004","unstructured":"Combettes, P.L., Pennanen, T.: Proximal methods for cohypomonotone operators. SIAM J. Control Optim. 43(2), 731\u2013742 (2004)","journal-title":"SIAM J. Control Optim."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-020-01734-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10957-020-01734-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-020-01734-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,11]],"date-time":"2021-08-11T23:51:58Z","timestamp":1628725918000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10957-020-01734-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,12]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,9]]}},"alternative-id":["1734"],"URL":"https:\/\/doi.org\/10.1007\/s10957-020-01734-6","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,8,12]]},"assertion":[{"value":"29 April 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 July 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 August 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}