{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,24]],"date-time":"2025-04-24T11:40:09Z","timestamp":1745494809652,"version":"3.40.4"},"reference-count":29,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"name":"French-Australian Science and Innovation Collaboration","award":["49763ZL"],"award-info":[{"award-number":["49763ZL"]}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-11-LABX-0056-LMH"],"award-info":[{"award-number":["ANR-11-LABX-0056-LMH"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Optim."],"published-print":{"date-parts":[[2025,6,30]]},"DOI":"10.1137\/23m1578036","type":"journal-article","created":{"date-parts":[[2025,4,24]],"date-time":"2025-04-24T11:04:31Z","timestamp":1745492671000},"page":"818-841","source":"Crossref","is-referenced-by-count":0,"title":["Beyond the Fermat Optimality Rules"],"prefix":"10.1137","volume":"35","author":[{"given":"Malek","family":"Abbasi","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Isfahan, Isfahan, Iran."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sorin-Mihai","family":"Grad","sequence":"additional","affiliation":[{"name":"Corresponding author. Unit\u00e9 de Math\u00e9matiques Appliqu\u00e9es, ENSTA Paris, Institut Polytechnique de Paris, 91120 Palaiseau, France."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michel A.","family":"Th\u00e9ra","sequence":"additional","affiliation":[{"name":"Mathematics and Computer Science Department, University of Limoges, 87000 Limoges, France."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2025,4,24]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/s11228-021-00582-4"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-021-09754-y"},{"key":"ref3","volume-title":"Infinite Dimensional Analysis","author":"Aliprantis C. D.","year":"2006"},{"key":"ref4","volume-title":"CMS Books in Mathematics\/Ouvrages de Math\u00e9matiques de la SMC","volume":"20","author":"Borwein J. M.","year":"2005"},{"key":"ref5","volume-title":"Springer Optim. Appl. 8","author":"Burachik R. S.","year":"2008"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s11228-004-4316-4"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2878-1_5"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/0316018"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623401392111"},{"key":"ref10","first-page":"1255","volume":"26","author":"Flores-Baz\u00e1n F.","year":"2019","journal-title":"J. Convex Anal."},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1080\/0025570X.1968.11975863"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-17005-8"},{"key":"ref13","first-page":"78","volume":"26","author":"Kruger A. Y.","year":"1985","journal-title":"Sibirsk. Mat. Zh."},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1070\/RM1972v027n03ABEH001380"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/BF00436109"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-92775-6"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-31247-1"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-31246-3"},{"key":"ref19","series-title":"Wiley-Interscience, Pure and Applied Mathematics","volume-title":"Functional Analysis: An Introduction to Banach Space Theory","author":"Morrison T. J.","year":"2001"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1080\/02331930008844469"},{"key":"ref21","first-page":"243","volume":"7","author":"Penot J.-P.","year":"2000","journal-title":"J. Convex Anal."},{"key":"ref22","series-title":"Lecture Notes in Math. 1364","author":"Phelps R. R.","year":"1993","edition":"2"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(74)90005-6"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-00-02550-2"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1988-0947656-7"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1980-020-7"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02431-3"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1142\/5021"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-004-0569-9"}],"container-title":["SIAM Journal on Optimization"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,4,24]],"date-time":"2025-04-24T11:04:36Z","timestamp":1745492676000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1578036"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4,24]]},"references-count":29,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,6,30]]}},"alternative-id":["10.1137\/23M1578036"],"URL":"https:\/\/doi.org\/10.1137\/23m1578036","relation":{},"ISSN":["1052-6234","1095-7189"],"issn-type":[{"value":"1052-6234","type":"print"},{"value":"1095-7189","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,4,24]]}}}