{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T12:19:08Z","timestamp":1763641148066},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2007,5,30]],"date-time":"2007-05-30T00:00:00Z","timestamp":1180483200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math Meth Oper Res"],"published-print":{"date-parts":[[2007,7,5]]},"DOI":"10.1007\/s00186-007-0169-6","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T09:20:39Z","timestamp":1180430439000},"page":"47-68","source":"Crossref","is-referenced-by-count":5,"title":["On the relations between different duals assigned to composed optimization problems"],"prefix":"10.1007","volume":"66","author":[{"given":"Gert","family":"Wanka","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Radu Ioan","family":"Bo\u0163","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Emese","family":"Vargyas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2007,5,30]]},"reference":[{"key":"169_CR1","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1007\/BF01386026","volume":"3","author":"FL Bauer","year":"1961","unstructured":"Bauer FL, Stoer J, Witzgall C (1961) Absolute and monotonic norms. Numer Math 3:257\u2013264","journal-title":"Numer Math"},{"key":"169_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/978-3-322-81539-2_1","volume-title":"Multi-Criteria-und Fuzzy-Systeme in Theorie und Praxis.","author":"RI Bo\u0163","year":"2003","unstructured":"Bo\u0163 RI, Wanka G (2003) Duality for composed convex functions with applications in location theory. In: Habenicht W, Scheubrein B, Scheubrein R (eds) Multi-Criteria-und Fuzzy-Systeme in Theorie und Praxis. Deutscher Universit\u00e4ts-Verlag, Wiesbaden, pp 1\u201318"},{"key":"169_CR3","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/BF01581075","volume":"57","author":"JV Burke","year":"1992","unstructured":"Burke JV, Poliquin RA (1992) Optimality conditions for non-finite valued convex composite functions. Math Program 57:103\u2013120","journal-title":"Math Program"},{"issue":"2","key":"169_CR4","first-page":"119","volume":"18","author":"C Combari","year":"1994","unstructured":"Combari C, Laghdir M, Thibault L (1994) Sous-diff\u00e9rentiels de fonctions convexes compos\u00e9es. Ann Sci Math Que 18(2):119\u2013148","journal-title":"Ann Sci Math Que"},{"key":"169_CR5","volume-title":"Convex analysis and variational problems","author":"I Ekeland","year":"1976","unstructured":"Ekeland I, Temam R (1976) Convex analysis and variational problems. North-Holland, Amsterdam"},{"key":"169_CR6","volume-title":"Duality in optimization and variational inequalities","author":"CJ Goh","year":"2002","unstructured":"Goh CJ, Yang XQ (2002) Duality in optimization and variational inequalities. Taylor and Francis Inc, New York"},{"key":"169_CR7","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1137\/0801004","volume":"1","author":"V Jeyakumar","year":"1991","unstructured":"Jeyakumar V (1991) Composite nonsmooth programming with G\u00e2teaux differentiability. SIAM J Optim 1:30\u201341","journal-title":"SIAM J Optim"},{"key":"169_CR8","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1007\/BF01581251","volume":"59","author":"V Jeyakumar","year":"1993","unstructured":"Jeyakumar V, Yang XQ (1993) Convex composite multi-objective nonsmooth programming. Math Program 59:325\u2013343","journal-title":"Math Program"},{"key":"169_CR9","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1007\/BF02192162","volume":"86","author":"V Jeyakumar","year":"1995","unstructured":"Jeyakumar V, Yang XQ (1995) Convex composite minimization with C 1,1 functions. J Optim Theory Appl 86:631\u2013648","journal-title":"J Optim Theory Appl"},{"issue":"2","key":"169_CR10","first-page":"545","volume":"18","author":"SS Kutateladze","year":"1977","unstructured":"Kutateladze SS (1977) Changes of variables in the Young transformation. Sov Math Dokl 18(2):545\u2013548","journal-title":"Sov Math Dokl"},{"key":"169_CR11","doi-asserted-by":"crossref","DOI":"10.1515\/9781400873173","volume-title":"Convex analysis","author":"RT Rockafellar","year":"1970","unstructured":"Rockafellar RT (1970) Convex analysis. Princeton University Press, Princeton"},{"key":"169_CR12","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1007\/978-3-642-50282-8_32","volume-title":"Operations research proceedings 2001.","author":"G Wanka","year":"2002","unstructured":"Wanka G, Bo\u0163 RI (2002) On the relations between different dual problems in convex mathematical programming. In: Chamoni P, Leisten R, Martin A, Minnemann J, Stadtler H (eds) Operations research proceedings 2001. Springer, Berlin, pp 255\u2013262"},{"issue":"3","key":"169_CR13","doi-asserted-by":"crossref","first-page":"1252","DOI":"10.1016\/j.ejor.2005.09.048","volume":"179","author":"G Wanka","year":"2007","unstructured":"Wanka G, Bo\u0163 RI, Vargyas E (2007) Duality for location problems with unbounded unit balls. Eur J Oper Res 179(3):1252\u20131265","journal-title":"Eur J Oper Res"},{"key":"169_CR14","first-page":"327","volume":"81","author":"XQ Yang","year":"1998","unstructured":"Yang XQ (1998) Second-order global optimality conditions for convex composite optimization. Math Program 81:327\u2013347","journal-title":"Math Program"}],"container-title":["Mathematical Methods of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-007-0169-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00186-007-0169-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-007-0169-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T14:33:26Z","timestamp":1558622006000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00186-007-0169-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,5,30]]},"references-count":14,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2007,7,5]]}},"alternative-id":["169"],"URL":"https:\/\/doi.org\/10.1007\/s00186-007-0169-6","relation":{},"ISSN":["1432-2994","1432-5217"],"issn-type":[{"value":"1432-2994","type":"print"},{"value":"1432-5217","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,5,30]]}}}