{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,16]],"date-time":"2024-09-16T05:20:55Z","timestamp":1726464055148},"reference-count":19,"publisher":"Elsevier BV","issue":"8","license":[{"start":{"date-parts":[[2009,4,1]],"date-time":"2009-04-01T00:00:00Z","timestamp":1238544000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":1568,"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computers & Mathematics with Applications"],"published-print":{"date-parts":[[2009,4]]},"DOI":"10.1016\/j.camwa.2009.01.012","type":"journal-article","created":{"date-parts":[[2009,2,26]],"date-time":"2009-02-26T05:45:55Z","timestamp":1235627155000},"page":"1389-1399","source":"Crossref","is-referenced-by-count":25,"title":["Higher order weak epiderivatives and applications to duality and optimality conditions"],"prefix":"10.1016","volume":"57","author":[{"given":"C.R.","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.J.","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.L.","family":"Teo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"year":"1990","series-title":"Set-Valued Analysis","author":"Aubin","key":"10.1016\/j.camwa.2009.01.012_b1"},{"key":"10.1016\/j.camwa.2009.01.012_b2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF00939767","article-title":"Optimality conditions for maximizations of set-valued functions","volume":"58","author":"Corley","year":"1988","journal-title":"J. Optim. Theory Appl."},{"key":"10.1016\/j.camwa.2009.01.012_b3","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/BF01217690","article-title":"Contingent epiderivatives and set-valued optimization","volume":"46","author":"Jahn","year":"1997","journal-title":"Math. Methods Oper. Res."},{"key":"10.1016\/j.camwa.2009.01.012_b4","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1007\/s001860050021","article-title":"Optimality conditions for set-valued optimization problems","volume":"48","author":"Chen","year":"1998","journal-title":"Math. Methods Oper. Res."},{"key":"10.1016\/j.camwa.2009.01.012_b5","first-page":"375","article-title":"Contingent epiderivative and its applications to set-valued optimization","volume":"27","author":"Bednarczuk","year":"1998","journal-title":"Control Cybernet."},{"key":"10.1016\/j.camwa.2009.01.012_b6","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1007\/s001860200187","article-title":"K-epiderivatives for set-valued functions and optimization","volume":"55","author":"Bigi","year":"2002","journal-title":"Math. Methods Oper. Res."},{"key":"10.1016\/j.camwa.2009.01.012_b7","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1016\/S0022-247X(03)00360-3","article-title":"Optimality conditions for proper efficient solutions of vector set-valued optimization","volume":"284","author":"Gong","year":"2003","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/j.camwa.2009.01.012_b8","doi-asserted-by":"crossref","first-page":"807","DOI":"10.1081\/NFA-120016271","article-title":"Generalized contingent epiderivatives in set-valued optimization: Optimality conditions","volume":"23","author":"Jahn","year":"2002","journal-title":"Numer. Funct. Anal. Optim."},{"key":"10.1016\/j.camwa.2009.01.012_b9","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1016\/j.jmaa.2006.04.060","article-title":"About contingent epiderivatives","volume":"327","author":"Rodr\u00edguez-Mar\u00edn","year":"2007","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/j.camwa.2009.01.012_b10","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1007\/s10957-004-1841-0","article-title":"Second-order optimality conditions in set optimization","volume":"125","author":"Jahn","year":"2005","journal-title":"J. Optim. Theory Appl."},{"key":"10.1016\/j.camwa.2009.01.012_b11","doi-asserted-by":"crossref","first-page":"704","DOI":"10.1016\/j.jmaa.2007.11.057","article-title":"Weak Clarke epiderivative in set-valued optimization","volume":"342","author":"Lalitha","year":"2008","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/j.camwa.2009.01.012_b12","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1007\/BF02192569","article-title":"Sufficient optimality conditions and duality in vector optimization with invex-convexlike functions","volume":"87","author":"Khanh","year":"1995","journal-title":"J. Optim. Theory Appl."},{"key":"10.1016\/j.camwa.2009.01.012_b13","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1080\/01630569108816453","article-title":"Invex multifunctions and duality","volume":"12","author":"Sach","year":"1991","journal-title":"Numer. Funct. Anal. Optim."},{"key":"10.1016\/j.camwa.2009.01.012_b14","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1080\/01630569408816555","article-title":"Generalized invexity and duality theories with multifunctions","volume":"15","author":"Sach","year":"1994","journal-title":"Numer. Funct. Anal. Optim."},{"key":"10.1016\/j.camwa.2009.01.012_b15","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1007\/s10957-007-9345-3","article-title":"Higher order optimality conditions for set-valued optimization","volume":"137","author":"Li","year":"2008","journal-title":"J. Optim. Theory Appl."},{"key":"10.1016\/j.camwa.2009.01.012_b16","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/j.cam.2007.02.011","article-title":"Higher order Mond\u2013Weir duality for set-valued optimization","volume":"217","author":"Li","year":"2008","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.camwa.2009.01.012_b17","doi-asserted-by":"crossref","first-page":"1184","DOI":"10.1016\/j.jmaa.2005.11.035","article-title":"Higher order optimality conditions for Henig efficient solutions in set-valued optimization","volume":"323","author":"Li","year":"2006","journal-title":"J. Math. Anal. Appl."},{"year":"2004","series-title":"Vector Optimization\u2013Theory, Applications and Extensions","author":"Jahn","key":"10.1016\/j.camwa.2009.01.012_b18"},{"year":"1989","series-title":"Theory of Vector Optimization","author":"Luc","key":"10.1016\/j.camwa.2009.01.012_b19"}],"container-title":["Computers & Mathematics with Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/api.elsevier.com\/content\/article\/PII:S0898122109000297?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/api.elsevier.com\/content\/article\/PII:S0898122109000297?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,12,21]],"date-time":"2018-12-21T05:55:23Z","timestamp":1545371723000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/linkinghub.elsevier.com\/retrieve\/pii\/S0898122109000297"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,4]]},"references-count":19,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2009,4]]}},"alternative-id":["S0898122109000297"],"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1016\/j.camwa.2009.01.012","relation":{},"ISSN":["0898-1221"],"issn-type":[{"type":"print","value":"0898-1221"}],"subject":[],"published":{"date-parts":[[2009,4]]}}}