{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T12:45:35Z","timestamp":1778676335525,"version":"3.51.4"},"reference-count":37,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"5","funder":[{"DOI":"10.13039\/501100001700","name":"Ministry of Education, Culture, Sports, Science and Technology","doi-asserted-by":"publisher","award":["26380246"],"award-info":[{"award-number":["26380246"]}],"id":[{"id":"10.13039\/501100001700","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2017,1]]},"DOI":"10.1137\/16m1070463","type":"journal-article","created":{"date-parts":[[2017,10,12]],"date-time":"2017-10-12T11:48:16Z","timestamp":1507808896000},"page":"3154-3170","source":"Crossref","is-referenced-by-count":4,"title":["Relaxation and Purification for Nonconvex Variational Problems in Dual Banach Spaces: The Minimization Principle in Saturated Measure Spaces"],"prefix":"10.1137","volume":"55","author":[{"given":"Nobusumi","family":"Sagara","sequence":"first","affiliation":[]}],"member":"351","reference":[{"key":"atypb2","first-page":"1","volume":"2","author":"Arkin V. I.","year":"1972","journal-title":"Russian Math. Surveys"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008692602576"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.2307\/1913732"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.2307\/1909854"},{"key":"atypb6","first-page":"15","author":"Aumann R. J.","year":"1969","journal-title":"Paris"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(65)90100-9"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/0322035"},{"key":"atypb9","first-page":"1","volume":"31","author":"Balder E. J.","year":"2000","journal-title":"Rend. Isit. Mat. Univ. Triste"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmateco.2007.02.002"},{"key":"atypb11","first-page":"129","volume":"101","author":"Berliocchi H.","year":"1973","journal-title":"Bull. S.M.F."},{"key":"atypb13","first-page":"873","volume":"18","author":"Cascales B.","year":"2011","journal-title":"J. Convex Anal."},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1007\/s40505-013-0018-0"},{"key":"atypb19","first-page":"621","volume":"24","author":"Greinecker M.","year":"2017","journal-title":"J. Convex Anal."},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1984-0756035-8"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.3792\/pia\/1195573106"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2009.03.003"},{"key":"atypb24","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1215\/ijm\/1403534490","volume":"57","author":"Khan M. A.","year":"2013","journal-title":"Illinois J. Math."},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1007\/s11228-014-0282-7"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2013.10.082"},{"key":"atypb27","first-page":"647","volume":"22","author":"Khan M. A.","year":"2015","journal-title":"J. Convex Anal."},{"key":"atypb28","first-page":"47","volume":"1","author":"Khan M. A.","year":"2016","journal-title":"Pure Appl. Func. Anal."},{"key":"atypb29","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmateco.2016.09.004"},{"key":"atypb30","first-page":"317","volume":"2","author":"Khan M. A.","year":"2017","journal-title":"Pure Appl. Func. Anal."},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1007\/s11117-015-0359-z"},{"key":"atypb32","doi-asserted-by":"crossref","first-page":"747","DOI":"10.1215\/ijm\/1258059490","volume":"50","author":"Loeb P. A.","year":"2006","journal-title":"Illinois J. Math."},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-09-09818-9"},{"key":"atypb34","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.28.3.108"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1137\/0305027"},{"key":"atypb39","volume":"25","author":"Mordukhovich B. S.","year":"2018","journal-title":"J. Convex Anal."},{"key":"atypb40","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmateco.2007.03.003"},{"key":"atypb41","doi-asserted-by":"publisher","DOI":"10.1007\/s00199-007-0319-3"},{"key":"atypb42","doi-asserted-by":"publisher","DOI":"10.1137\/140965570"},{"key":"atypb43","doi-asserted-by":"publisher","DOI":"10.1007\/BF02413878"},{"key":"atypb45","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(92)90004-3"},{"key":"atypb46","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-97-01825-4"},{"key":"atypb47","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmateco.2007.07.005"},{"key":"atypb48","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1975-0385067-1"}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/16M1070463","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,4]],"date-time":"2019-10-04T11:13:43Z","timestamp":1570187623000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/16M1070463"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1]]},"references-count":37,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2017,1]]}},"alternative-id":["10.1137\/16M1070463"],"URL":"https:\/\/doi.org\/10.1137\/16m1070463","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1]]}}}