{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T14:35:05Z","timestamp":1780497305349,"version":"3.54.1"},"reference-count":7,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2006,10,7]],"date-time":"2006-10-07T00:00:00Z","timestamp":1160179200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2006,10,7]],"date-time":"2006-10-07T00:00:00Z","timestamp":1160179200000},"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 Glob Optim"],"published-print":{"date-parts":[[2007,7]]},"DOI":"10.1007\/s10898-006-9090-4","type":"journal-article","created":{"date-parts":[[2006,10,6]],"date-time":"2006-10-06T13:30:46Z","timestamp":1160141446000},"page":"405-419","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Local saddle point and a class of convexification methods for nonconvex optimization problems"],"prefix":"10.1007","volume":"38","author":[{"given":"Tao","family":"Li","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yanjun","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhian","family":"Liang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Panos M.","family":"Pardalos","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2006,10,7]]},"reference":[{"key":"9090_CR1","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1090\/qam\/135625","volume":"19","author":"P. Wolfe","year":"1961","unstructured":"Wolfe P. (1961) A duality theorem for nonlinear programming. Q. Appl. Math. 19, 239\u2013244","journal-title":"Q. Appl. Math."},{"key":"9090_CR2","volume-title":"Linear and Nonlinear Programming","author":"D.G. Luenberger","year":"1984","unstructured":"Luenberger D.G. (1984) Linear and Nonlinear Programming, 2nd edn. Addison-Wesley, Reading, MA","edition":"2"},{"key":"9090_CR3","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1007\/BF02192229","volume":"85","author":"D. Li","year":"1995","unstructured":"Li D. (1995) Zero Duality gap for a class of nonconvex optimization problems. J. Optim. Theory Appl. 85, 309\u2013324","journal-title":"J. Optim. Theory Appl."},{"key":"9090_CR4","doi-asserted-by":"publisher","first-page":"739","DOI":"10.1023\/A:1022613419816","volume":"94","author":"Z.K. Xu","year":"1997","unstructured":"Xu Z.K. (1997) Local saddle points and convexification for nonconvex optimization problems. J. Optim. Theory Appl. 94, 739\u2013746","journal-title":"J. Optim. Theory Appl."},{"key":"9090_CR5","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1023\/A:1004628822745","volume":"104","author":"D. Li","year":"2000","unstructured":"Li D., Sun X.L. (2000) Local convexification of Lagrangian function in nonconvex optimization. J. Optim. Theory Appl. 104, 109\u2013120","journal-title":"J. Optim. Theory Appl."},{"key":"9090_CR6","volume-title":"Nonlinear Programming, Theory and Algorithms","author":"S.B. Mokhtar","year":"1993","unstructured":"Mokhtar S.B., Hanif D.S., Shetty C.M. (1993) Nonlinear Programming, Theory and Algorithms, 2nd edn. Wiley Inc, New York","edition":"2"},{"key":"9090_CR7","volume-title":"Introduction to Mathematical Programming(in Chinese)","author":"Z.K. Xu","year":"1999","unstructured":"Xu Z.K. (1999) Introduction to Mathematical Programming(in Chinese). Science Publisinghouse, Beijing, China"}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-006-9090-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10898-006-9090-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-006-9090-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-006-9090-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,17]],"date-time":"2022-05-17T19:31:57Z","timestamp":1652815917000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10898-006-9090-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,10,7]]},"references-count":7,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2007,7]]}},"alternative-id":["9090"],"URL":"https:\/\/doi.org\/10.1007\/s10898-006-9090-4","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,10,7]]},"assertion":[{"value":"7 March 2006","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 August 2006","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 October 2006","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}