{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T07:51:42Z","timestamp":1776844302605,"version":"3.51.2"},"reference-count":8,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2012,7,13]],"date-time":"2012-07-13T00:00:00Z","timestamp":1342137600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2013,11]]},"DOI":"10.1007\/s10898-012-9958-4","type":"journal-article","created":{"date-parts":[[2012,7,12]],"date-time":"2012-07-12T06:17:56Z","timestamp":1342073876000},"page":"753-769","source":"Crossref","is-referenced-by-count":40,"title":["Global convergence of a non-convex Douglas\u2013Rachford iteration"],"prefix":"10.1007","volume":"57","author":[{"given":"Francisco J.","family":"Arag\u00f3n Artacho","sequence":"first","affiliation":[]},{"given":"Jonathan M.","family":"Borwein","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,7,13]]},"reference":[{"issue":"7","key":"9958_CR1","doi-asserted-by":"crossref","first-page":"1334","DOI":"10.1364\/JOSAA.19.001334","volume":"19","author":"H.H Bauschke","year":"2002","unstructured":"Bauschke H.H, Combettes P.L, Luke D.R: Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization. J. Opt. Soc. Am. A 19(7), 1334\u20131345 (2002)","journal-title":"J. Opt. Soc. Am. A"},{"key":"9958_CR2","doi-asserted-by":"crossref","unstructured":"Borwein, J.M., Sims, B.: The Douglas\u2013Rachford Algorithm in the Absence of Convexity. In: Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer Optimization and its Applications 49, pp. 93\u2013109 (2011)","DOI":"10.1007\/978-1-4419-9569-8_6"},{"key":"9958_CR3","volume-title":"Techniques of Variational Analysis","author":"J.M Borwein","year":"2005","unstructured":"Borwein J.M, Zhu Q.J: Techniques of Variational Analysis. Springer, New York (2005)"},{"key":"9958_CR4","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1073\/pnas.0606359104","volume":"104","author":"V. Elser","year":"2007","unstructured":"Elser V., Rankenburg I., Thibault P.: Searching with iterated maps. Proc. Natl. Acad. Sci. 104, 418\u2013423 (2007)","journal-title":"Proc. Natl. Acad. Sci."},{"key":"9958_CR5","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511526152","volume-title":"Topics in Metric Fixed Point Theory","author":"K. Goebel","year":"1990","unstructured":"Goebel K., Kirk W.A: Topics in Metric Fixed Point Theory. Cambridge University Press, Cambridge (1990)"},{"issue":"036706","key":"9958_CR6","first-page":"1","volume":"78","author":"S. Gravel","year":"2008","unstructured":"Gravel S., Elser V.: Divide and concur: a general approach constraint satisfaction. Phys. Rev. E 78(036706), 1\u20135 (2008)","journal-title":"Phys. Rev. E"},{"issue":"6","key":"9958_CR7","doi-asserted-by":"crossref","first-page":"964","DOI":"10.1137\/0716071","volume":"16","author":"P.L 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."},{"key":"9958_CR8","doi-asserted-by":"crossref","first-page":"591","DOI":"10.1090\/S0002-9904-1967-11761-0","volume":"73","author":"Z. Opial","year":"1967","unstructured":"Opial Z.: Weak convergence of the sequence of successive approximations for nonexpansive mappings. Bull. Am. Math. Soc. 73, 591\u2013597 (1967)","journal-title":"Bull. Am. Math. Soc."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-012-9958-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-012-9958-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-012-9958-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,30]],"date-time":"2019-06-30T17:27:21Z","timestamp":1561915641000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-012-9958-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,7,13]]},"references-count":8,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2013,11]]}},"alternative-id":["9958"],"URL":"https:\/\/doi.org\/10.1007\/s10898-012-9958-4","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,7,13]]}}}