{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:44:53Z","timestamp":1753886693412,"version":"3.41.2"},"reference-count":33,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,11,26]],"date-time":"2012-11-26T00:00:00Z","timestamp":1353888000000},"content-version":"vor","delay-in-days":330,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001868","name":"National Science Council","doi-asserted-by":"publisher","award":["NSC99-2115-M-039-001","NSC100-2115-M-039-001"],"award-info":[{"award-number":["NSC99-2115-M-039-001","NSC100-2115-M-039-001"]}],"id":[{"id":"10.13039\/501100001868","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001868","name":"National Science Council","doi-asserted-by":"publisher","award":["NSC99-2115-M-039-001","NSC100-2115-M-039-001"],"award-info":[{"award-number":["NSC99-2115-M-039-001","NSC100-2115-M-039-001"]}],"id":[{"id":"10.13039\/501100001868","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>We study some properties for parametric generalized vector equilibrium problems and the convergent behavior for the correspondent solution sets of this problem under some suitable conditions. Several existence results and the topological structures of the efficient solutions set are established. Some new results of existence for weak solutions and strong solutions are derived. Finally, we give some examples to illustrate our theory including the example studied by Fang (1992), who established the perturbed nonlinear program (<jats:italic>P<\/jats:italic><jats:sub><jats:italic>\u03bc<\/jats:italic><\/jats:sub>) and described successfully that the optimal solution of (<jats:italic>P<\/jats:italic><jats:sub><jats:italic>\u03bc<\/jats:italic><\/jats:sub>) will approach the optimal solution of\nlinear program (<jats:italic>P<\/jats:italic>).<\/jats:p>","DOI":"10.1155\/2012\/183040","type":"journal-article","created":{"date-parts":[[2012,11,26]],"date-time":"2012-11-26T21:08:04Z","timestamp":1353964084000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Convergent Behavior for Parametric Generalized Vector Equilibrium Problems"],"prefix":"10.1155","volume":"2012","author":[{"given":"Yen-Cherng","family":"Lin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Po-Jen","family":"Cheng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Su-Ling","family":"Lee","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,11,26]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1014830925232"},{"key":"e_1_2_5_2_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.2000.7389"},{"key":"e_1_2_5_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-007-9196-y"},{"key":"e_1_2_5_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00940632"},{"key":"e_1_2_5_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00938597"},{"key":"e_1_2_5_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02275358"},{"key":"e_1_2_5_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-004-2692-9"},{"key":"e_1_2_5_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2005.06.010"},{"key":"e_1_2_5_9_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1023627606067"},{"key":"e_1_2_5_10_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1013857924393"},{"key":"e_1_2_5_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2004.05.039"},{"key":"e_1_2_5_12_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1015420322818"},{"key":"e_1_2_5_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6377(03)00051-8"},{"key":"e_1_2_5_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00938796"},{"key":"e_1_2_5_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2008.01.030"},{"key":"e_1_2_5_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-004-2694-7"},{"key":"e_1_2_5_17_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1026418122905"},{"key":"e_1_2_5_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(92)90207-T"},{"key":"e_1_2_5_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-008-9379-1"},{"key":"e_1_2_5_20_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-008-9378-2"},{"key":"e_1_2_5_21_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-008-9429-8"},{"key":"e_1_2_5_22_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1997.5192"},{"key":"e_1_2_5_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2004.03.014"},{"key":"e_1_2_5_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.08.018"},{"key":"e_1_2_5_25_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-006-9062-8"},{"key":"e_1_2_5_26_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-007-9190-4"},{"key":"e_1_2_5_27_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-50280-4"},{"key":"e_1_2_5_28_2","first-page":"707","article-title":"Note on F-implicit generalized vector variational inequalities","volume":"14","author":"Lin Y.-C.","year":"2010","journal-title":"Taiwanese Journal of Mathematics"},{"key":"e_1_2_5_29_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00933970"},{"key":"e_1_2_5_30_2","first-page":"649","article-title":"Sensitivity analysis of vector equilibrium problems","volume":"12","author":"Kimura K.","year":"2008","journal-title":"Taiwanese Journal of Mathematics"},{"key":"e_1_2_5_31_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1026495115191"},{"key":"e_1_2_5_32_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01417214"},{"volume-title":"Espaces Topologiques","year":"1959","author":"Berge C.","key":"e_1_2_5_33_2"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/183040.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/183040.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/183040","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T06:53:00Z","timestamp":1718088780000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/183040"}},"subtitle":[],"editor":[{"given":"Jen Chih","family":"Yao","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":33,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/183040"],"URL":"https:\/\/doi.org\/10.1155\/2012\/183040","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-09-14","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-10-24","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-11-26","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"183040"}}