{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T19:03:12Z","timestamp":1768590192932,"version":"3.49.0"},"reference-count":22,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2018,9,5]],"date-time":"2018-09-05T00:00:00Z","timestamp":1536105600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,12,18]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In a well-known paper by Kyparisis it is proved that, in nonlinear programming, the uniqueness of Lagrange multipliers is equivalent to a strict version of the Mangasarian\u2013Fromovitz constraint qualification which, in turn, implies the satisfaction of second-order necessary optimality conditions. This is no longer the case in optimal control where, as shown in a recent paper, the corresponding strict constraint qualification is only sufficient for the uniqueness of multipliers. In this paper we exhibit the missing piece: a new, simple condition, implied by the strict constraint qualification, which is necessary and sufficient for the uniqueness of multipliers in optimal control.<\/jats:p>","DOI":"10.1093\/imamci\/dny033","type":"journal-article","created":{"date-parts":[[2018,8,17]],"date-time":"2018-08-17T19:33:05Z","timestamp":1534534385000},"page":"1395-1411","source":"Crossref","is-referenced-by-count":6,"title":["Uniqueness of multipliers in optimal control: the missing piece"],"prefix":"10.1093","volume":"36","author":[{"given":"Jorge A","family":"Becerril","sequence":"first","affiliation":[{"name":"Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y en Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Apartado Postal, CDMX, M\u00e9xico"}]},{"given":"Karla L","family":"Cortez","sequence":"additional","affiliation":[{"name":"Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y en Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Apartado Postal, CDMX, M\u00e9xico"}]},{"given":"Javier F","family":"Rosenblueth","sequence":"additional","affiliation":[{"name":"Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y en Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Apartado Postal, CDMX, M\u00e9xico"}]}],"member":"286","published-online":{"date-parts":[[2018,9,5]]},"reference":[{"key":"2019121901572696300_C1","doi-asserted-by":"crossref","first-page":"1129","DOI":"10.3934\/dcds.2017047","article-title":"Necessity for isoperimetric inequality constraints","volume":"37","author":"Becerril","year":"2017","journal-title":"Discrete Contin. 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