{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T02:34:12Z","timestamp":1769913252165,"version":"3.49.0"},"reference-count":29,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"3","license":[{"start":{"date-parts":[[2017,3,1]],"date-time":"2017-03-01T00:00:00Z","timestamp":1488326400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61403313"],"award-info":[{"award-number":["61403313"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61374078"],"award-info":[{"award-number":["61374078"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61375102"],"award-info":[{"award-number":["61375102"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100005230","name":"Natural Science Foundation Project of Chongqing CSTC","doi-asserted-by":"publisher","award":["cstc2014jcyjA40014"],"award-info":[{"award-number":["cstc2014jcyjA40014"]}],"id":[{"id":"10.13039\/501100005230","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100008982","name":"National Priorities Research Program through the Qatar National Research Fund, a member of Qatar Foundation","doi-asserted-by":"publisher","award":["NPRP 4-1162-1-181"],"award-info":[{"award-number":["NPRP 4-1162-1-181"]}],"id":[{"id":"10.13039\/100008982","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Cybern."],"published-print":{"date-parts":[[2017,3]]},"DOI":"10.1109\/tcyb.2016.2523541","type":"journal-article","created":{"date-parts":[[2016,2,11]],"date-time":"2016-02-11T12:45:02Z","timestamp":1455194702000},"page":"809-814","source":"Crossref","is-referenced-by-count":111,"title":["An Inertial Projection Neural Network for Solving Variational Inequalities"],"prefix":"10.1109","volume":"47","author":[{"given":"Xing","family":"He","sequence":"first","affiliation":[]},{"given":"Tingwen","family":"Huang","sequence":"additional","affiliation":[]},{"given":"Junzhi","family":"Yu","sequence":"additional","affiliation":[]},{"given":"Chuandong","family":"Li","sequence":"additional","affiliation":[]},{"given":"Chaojie","family":"Li","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2006.886166"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2009.2012517"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2014.03.006"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2011.2109735"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2015.2479118"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2015.2425301"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2416927"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2006.879775"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1109\/TSMCB.2012.2198812","article-title":"A one-layer recurrent neural network for real-time portfolio optimization with probability criterion","volume":"43","author":"liu","year":"2013","journal-title":"IEEE Trans Cybern"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2014.12.007"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2013.01.026"},{"key":"ref4","author":"facchinei","year":"2003","journal-title":"Finite-Dimensional Variational Inequalities and Complementarity Problems"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1140\/epjb\/e2004-00327-2"},{"key":"ref3","author":"kinderlehrer","year":"1980","journal-title":"An Introduction to Variational Inequalities and Their Applications"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1986.1085953"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2012.02.019"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1007\/BF00339943","article-title":"&#x2018;Neural&#x2019; computation of decisions in optimization problems","volume":"52","author":"hopfield","year":"1985","journal-title":"Biol Cybern"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/81.995659"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/81.244913"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2011.2180935"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"1640","DOI":"10.1109\/TSMCB.2009.2025700","article-title":"An alternative recurrent neural network for solving variational inequalities and related optimization problems","volume":"39","author":"hu","year":"2009","journal-title":"IEEE Trans Syst Man Cybern B Cybern"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2010.10.016"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"1149","DOI":"10.1109\/TNNLS.2014.2334364","article-title":"A two-layer recurrent neural network for nonsmooth convex optimization problems","volume":"26","author":"qin","year":"2015","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"824","DOI":"10.1109\/TNNLS.2013.2280905","article-title":"A recurrent neural network for solving bilevel linear programming problem","volume":"25","author":"he","year":"2014","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2015.2496658"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2012.2209735"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2012.2210038"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.swevo.2011.05.005"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(97)00008-0"}],"container-title":["IEEE Transactions on Cybernetics"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6221036\/7829491\/07404251.pdf?arnumber=7404251","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,3]],"date-time":"2022-06-03T22:53:00Z","timestamp":1654296780000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7404251\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3]]},"references-count":29,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.1109\/tcyb.2016.2523541","relation":{},"ISSN":["2168-2267","2168-2275"],"issn-type":[{"value":"2168-2267","type":"print"},{"value":"2168-2275","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,3]]}}}