{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T15:38:48Z","timestamp":1725464328378},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2013,8,31]],"date-time":"2013-08-31T00:00:00Z","timestamp":1377907200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2015,12]]},"DOI":"10.1007\/s10957-013-0395-4","type":"journal-article","created":{"date-parts":[[2013,8,30]],"date-time":"2013-08-30T16:39:46Z","timestamp":1377880786000},"page":"985-997","source":"Crossref","is-referenced-by-count":5,"title":["Duality for Closed Convex Functions and Evenly Convex Functions"],"prefix":"10.1007","volume":"167","author":[{"given":"M.","family":"Volle","sequence":"first","affiliation":[]},{"given":"J. E.","family":"Mart\u00ednez-Legaz","sequence":"additional","affiliation":[]},{"given":"J.","family":"Vicente-P\u00e9rez","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,8,31]]},"reference":[{"key":"395_CR1","first-page":"109","volume":"49","author":"J.J. Moreau","year":"1970","unstructured":"Moreau, J.J.: Inf-convolution, sous-additivit\u00e9, convexit\u00e9 des fonctions num\u00e9riques. J. Math. Pures Appl. 49, 109\u2013154 (1970)","journal-title":"J. Math. Pures Appl."},{"key":"395_CR2","doi-asserted-by":"crossref","DOI":"10.1142\/5021","volume-title":"Convex Analysis in General Vector Spaces","author":"C. Z\u0103linescu","year":"2002","unstructured":"Z\u0103linescu, C.: Convex Analysis in General Vector Spaces. World Scientific, River Edge (2002)"},{"key":"395_CR3","doi-asserted-by":"crossref","first-page":"602","DOI":"10.1016\/j.jmaa.2010.10.058","volume":"376","author":"J.E. Mart\u00ednez-Legaz","year":"2011","unstructured":"Mart\u00ednez-Legaz, J.E., Vicente-P\u00e9rez, J.: The e-support function of an e-convex set and conjugacy for e-convex functions. J. Math. Anal. Appl. 376, 602\u2013612 (2011)","journal-title":"J. Math. Anal. Appl."},{"key":"395_CR4","series-title":"Acta Salmanticensia. Ciencias","first-page":"837","volume-title":"Proceedings of the Ninth Spanish\u2013Portuguese Conference on Mathematics, Vol.\u00a02","author":"J.E. Mart\u00ednez-Legaz","year":"1982","unstructured":"Mart\u00ednez-Legaz, J.E.: Conjugation associated with a graph. In: Proceedings of the Ninth Spanish\u2013Portuguese Conference on Mathematics, Vol.\u00a02, Salamanca, 1982. Acta Salmanticensia. Ciencias, vol. 46, pp. 837\u2013839. University of Salamanca, Salamanca (1982) (in Spanish)"},{"key":"395_CR5","volume-title":"Analyse Convexe et Probl\u00e8mes Variationnels. Collection \u00c9tudes Math\u00e9matiques","author":"I. Ekeland","year":"1974","unstructured":"Ekeland, I., Temam, R.: Analyse Convexe et Probl\u00e8mes Variationnels. Collection \u00c9tudes Math\u00e9matiques. Dunod\/Gauthier-Villars, Paris\/Brussels (1974)"},{"key":"395_CR6","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1080\/02331930008844469","volume":"47","author":"J.P. Penot","year":"2000","unstructured":"Penot, J.P.: What is quasiconvex analysis? Optimization 47, 35\u2013110 (2000)","journal-title":"Optimization"},{"key":"395_CR7","first-page":"721","volume":"18","author":"M.M.L. Rodr\u00edguez","year":"2011","unstructured":"Rodr\u00edguez, M.M.L., Vicente-P\u00e9rez, J.: On evenly convex functions. J. Convex Anal. 18, 721\u2013736 (2011)","journal-title":"J. Convex Anal."},{"key":"395_CR8","volume-title":"Convex Cones, Sets and Functions. Lecture Notes","author":"W. Fenchel","year":"1953","unstructured":"Fenchel, W.: Convex Cones, Sets and Functions. Lecture Notes. Princeton University, Princeton (1953)"},{"key":"395_CR9","doi-asserted-by":"crossref","first-page":"1079","DOI":"10.1016\/j.ejor.2003.12.028","volume":"169","author":"M.A. Goberna","year":"2006","unstructured":"Goberna, M.A., Rodr\u00edguez, M.M.L.: Analyzing linear systems containing strict inequalities via evenly convex hulls. Eur. J. Oper. Res. 169, 1079\u20131095 (2006)","journal-title":"Eur. J. Oper. Res."},{"key":"395_CR10","unstructured":"Crouzeix, J.P.: Contribution \u00e0 l\u2019\u00e9tude des fonctions quasiconvexes. Th\u00e8se, Univ. Clermont-Ferrand II (1977)"},{"key":"395_CR11","first-page":"A257","volume":"27","author":"J.E. Mart\u00ednez-Legaz","year":"1983","unstructured":"Mart\u00ednez-Legaz, J.E.: Exact quasiconvex conjugation. ZOR, Z. Oper.-Res. 27, A257\u2013A266 (1983)","journal-title":"ZOR, Z. Oper.-Res."},{"key":"395_CR12","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1007\/BF02591881","volume":"30","author":"U. Passy","year":"1984","unstructured":"Passy, U., Prisman, E.Z.: Conjugacy in quasiconvex programming. Math. Program. 30, 121\u2013146 (1984)","journal-title":"Math. Program."},{"key":"395_CR13","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1287\/moor.15.4.597","volume":"15","author":"J.P. Penot","year":"1990","unstructured":"Penot, J.P., Volle, M.: On quasi-convex duality. Math. Oper. Res. 15, 597\u2013625 (1990)","journal-title":"Math. Oper. Res."},{"key":"395_CR14","series-title":"Canadian Mathematical Society Series of Monographs and Advanced Texts","volume-title":"Abstract Convex Analysis","author":"I. Singer","year":"1997","unstructured":"Singer, I.: Abstract Convex Analysis. Canadian Mathematical Society Series of Monographs and Advanced Texts. Wiley, New York (1997)"},{"key":"395_CR15","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1007\/BF01766858","volume":"139","author":"M. Volle","year":"1985","unstructured":"Volle, M.: Conjugaison par tranches. Ann. Mat. Pura Appl. 139, 279\u2013311 (1985)","journal-title":"Ann. Mat. Pura Appl."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-013-0395-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-013-0395-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-013-0395-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T09:55:24Z","timestamp":1559469324000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-013-0395-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,8,31]]},"references-count":15,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,12]]}},"alternative-id":["395"],"URL":"https:\/\/doi.org\/10.1007\/s10957-013-0395-4","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,8,31]]}}}