{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T14:53:55Z","timestamp":1649170435828},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[1992,11,1]],"date-time":"1992-11-01T00:00:00Z","timestamp":720576000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["ZOR - Methods and Models of Operations Research"],"published-print":{"date-parts":[[1992,11]]},"DOI":"10.1007\/bf01416245","type":"journal-article","created":{"date-parts":[[2005,4,3]],"date-time":"2005-04-03T15:22:01Z","timestamp":1112541721000},"page":"547-563","source":"Crossref","is-referenced-by-count":1,"title":["On generalized convexity and duality with a square root term"],"prefix":"10.1007","volume":"36","author":[{"given":"V.","family":"Preda","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","first-page":"604","DOI":"10.1287\/mnsc.16.9.604","volume":"16","author":"D Bhatia","year":"1970","unstructured":"Bhatia D (1970) A note on duality theorem for a nonlinear programming problem. Man Sci 16:604?606","journal-title":"Man Sci"},{"key":"CR2","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/0022-247X(69)90117-6","volume":"28","author":"D Bhatia","year":"1969","unstructured":"Bhatia D and Kaul RN (1969) Nonlinear programming in complex space. J Math Anal Appl 28:144?152","journal-title":"J Math Anal Appl"},{"issue":"5","key":"CR3","doi-asserted-by":"crossref","first-page":"653","DOI":"10.1080\/02331938508843062","volume":"16","author":"S Chandra","year":"1985","unstructured":"Chandra S, Craven BD and Mond B (1985) Generalized concavity and duality with a square root term. Optimization 16, 5:653?662","journal-title":"Optimization"},{"key":"CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-009-5796-1","volume-title":"Mathematical Programming and Control Theory","author":"BD Craven","year":"1978","unstructured":"Craven BD (1978) Mathematical Programming and Control Theory. Chapman and Hall, London"},{"key":"CR5","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1017\/S0004972700004895","volume":"24","author":"BD Craven","year":"1981","unstructured":"Craven BD (1981) Invex functions and constrained local minima, Bulletin of the Austral Math Soc 24:357?366","journal-title":"Bulletin of the Austral Math Soc"},{"key":"CR6","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611971316","volume-title":"Nonlinear Programming: Sequential Unconstrained Minimization Techniques","author":"AV Fiacco","year":"1990","unstructured":"Fiacco AV and McCormick GP (1990) Nonlinear Programming: Sequential Unconstrained Minimization Techniques. SIAM, Philadelphia"},{"key":"CR7","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1002\/nav.3800190209","volume":"19","author":"RL Francis","year":"1972","unstructured":"Francis RL and Cabot AV (1972) Properties of a multifacility location problem involving Euclidean distances. Nav Res Log Quart 19:335?353","journal-title":"Nav Res Log Quart"},{"key":"CR8","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1016\/0022-247X(81)90123-2","volume":"80","author":"M Hanson","year":"1981","unstructured":"Hanson M (1981) On sufficiency of the Kuhn-Tucker conditions. J Math Anal Appl 80:545?550","journal-title":"J Math Anal Appl"},{"key":"CR9","first-page":"25","volume":"3","author":"M Hanson","year":"1982","unstructured":"Hanson M and Mond B (1982) Further generalizations of convexity in mathematical programming. J Inform Optim Sci 3:25?32","journal-title":"J Inform Optim Sci"},{"key":"CR10","first-page":"71","volume":"29","author":"V Jeyakumar","year":"1985","unstructured":"Jeyakumar V (1985) ?-Convexity and second order duality. Utilitas Math 29:71?85","journal-title":"Utilitas Math"},{"key":"CR11","volume-title":"Nonlinear Programming","author":"OL Mangasarian","year":"1969","unstructured":"Mangasarian OL (1969) Nonlinear Programming. McGraw-Hill, New York"},{"key":"CR12","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/0022-247X(67)90163-1","volume":"17","author":"OL Mangasarian","year":"1967","unstructured":"Mangasarian OL and Fromovitz S (1967) The Fritz John necessary optimality conditions in the presence of equality and inequality constraints. J Math Anal Appl 17:37?47","journal-title":"J Math Anal Appl"},{"key":"CR13","doi-asserted-by":"crossref","first-page":"633","DOI":"10.1016\/0022-247X(73)90282-5","volume":"43","author":"B Mond","year":"1973","unstructured":"Mond B (1973) Nonlinear complex programming. J Math Anal Appl 43:633?641","journal-title":"J Math Anal Appl"},{"key":"CR14","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1287\/opre.21.1.369","volume":"21","author":"B Mond","year":"1973","unstructured":"Mond B (1973) On a duality theorem for a nonlinear programming problem. Oper Res 21:369?370","journal-title":"Oper Res"},{"key":"CR15","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/0022-247X(74)90289-3","volume":"46","author":"B Mond","year":"1974","unstructured":"Mond B (1974) A class of nondifferentiable mathematical programming problems. J Math Anal Appl 46:169?174","journal-title":"J Math Anal Appl"},{"key":"CR16","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1017\/S0004972700025661","volume":"27","author":"B Mond","year":"1983","unstructured":"Mond B (1983) Generalized convexity in mathematical programming. J Austral Math Soc Ser B 27:185?202","journal-title":"J Austral Math Soc Ser B"},{"key":"CR17","doi-asserted-by":"crossref","first-page":"611","DOI":"10.1002\/nav.3800230405","volume":"23","author":"B Mond","year":"1976","unstructured":"Mond B and Schechter M (1976) On a constraint qualification in a nondifferentiable programming problem. Naval Res Logist Quart 23:611?613","journal-title":"Naval Res Logist Quart"},{"key":"CR18","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1016\/0022-247X(89)90183-2","volume":"141","author":"B Mond","year":"1989","unstructured":"Mond B and Smart I (1989) Duality with invexity for a class of nondifferentiable static and continuous programming problems. J Math Anal Appl 141:373?388","journal-title":"J Math Anal Appl"},{"key":"CR19","first-page":"263","volume-title":"Generalized concavity and duality, in Generalized Concavity in Optimization and Economics","author":"B Mond","year":"1981","unstructured":"Mond B and Weir T (1981) Generalized concavity and duality, in Generalized Concavity in Optimization and Economics, Edited by Schaible S and Ziemba WT. Academic Press, New York, 263?280"},{"key":"CR20","unstructured":"Preda V (1991) Optimality conditions for a class of mathematical programming problems. Rev Roum Math Pures et Appl (to appear)"},{"key":"CR21","first-page":"14","volume":"10","author":"O Rani","year":"1973","unstructured":"Rani O (1973) A duality theorem for complex nonlinear programming. Opsearch 10:14?23","journal-title":"Opsearch"},{"key":"CR22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0022-247X(73)90252-7","volume":"43","author":"O Rani","year":"1973","unstructured":"Rani O and Kaul RN (1973) Nonlinear programming in complex space. J Math Anal Appl 43:1?14","journal-title":"J Math Anal Appl"},{"key":"CR23","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1287\/mnsc.12.5.385","volume":"12","author":"SM Sinha","year":"1966","unstructured":"Sinha SM (1966) A duality theorem for nonlinear programming. Man Sci 12:385?390","journal-title":"Man Sci"},{"key":"CR24","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/0304-4068(82)90026-X","volume":"9","author":"JP Vial","year":"1982","unstructured":"Vial JP (1982) Strong convexity of sets and functions. J Math Econom 9:187?205","journal-title":"J Math Econom"},{"key":"CR25","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1287\/moor.8.2.231","volume":"8","author":"JP Vial","year":"1983","unstructured":"Vial JP (1983) Strong and weak convexity of sets and functions. Math Oper Res 8:231?259","journal-title":"Math Oper Res"}],"container-title":["ZOR Zeitschrift f\ufffd Operations Research Methods and Models of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01416245.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01416245\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01416245","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T13:12:44Z","timestamp":1556802764000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01416245"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,11]]},"references-count":25,"journal-issue":{"issue":"6","published-print":{"date-parts":[[1992,11]]}},"alternative-id":["BF01416245"],"URL":"https:\/\/doi.org\/10.1007\/bf01416245","relation":{},"ISSN":["0340-9422","1432-5217"],"issn-type":[{"value":"0340-9422","type":"print"},{"value":"1432-5217","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,11]]}}}