{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T11:59:51Z","timestamp":1759838391811},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2007,7,7]],"date-time":"2007-07-07T00:00:00Z","timestamp":1183766400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2008,3]]},"DOI":"10.1007\/s10898-007-9177-6","type":"journal-article","created":{"date-parts":[[2007,7,6]],"date-time":"2007-07-06T05:07:38Z","timestamp":1183698458000},"page":"463-473","source":"Crossref","is-referenced-by-count":7,"title":["Minty\u2019s lemma and vector variational-like inequalities"],"prefix":"10.1007","volume":"40","author":[{"given":"M.","family":"Chinaie","sequence":"first","affiliation":[]},{"given":"T.","family":"Jabarootian","sequence":"additional","affiliation":[]},{"given":"M.","family":"Rezaie","sequence":"additional","affiliation":[]},{"given":"J.","family":"Zafarani","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,7,7]]},"reference":[{"key":"9177_CR1","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1007\/978-1-4613-0299-5_2","volume-title":"Vector Variational Inequalities and Vector Equilibria","author":"Q.H. Ansari","year":"2000","unstructured":"Ansari Q.H., Siddiqi A.H., Yao J.C.A. (2000). Generalized vector variational-like inequalities and their scalarizations. In: Giannessi, F. (eds) Vector Variational Inequalities and Vector Equilibria, pp 17\u201337. Kluwer Academic Publishers, Dordrecht, Holland"},{"key":"9177_CR2","volume-title":"Variational and Quasi-variational Inequalities, Applications to Free Boundary Problems","author":"C. Baiocchi","year":"1984","unstructured":"Baiocchi C., Capelo A. (1984). Variational and Quasi-variational Inequalities, Applications to Free Boundary Problems. Weily, New York"},{"key":"9177_CR3","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1007\/BF00940320","volume":"74","author":"G.Y. Chen","year":"1992","unstructured":"Chen G.Y. (1992). Existence of solutions for a vector variational inequality. An extension of Hartman-Stampacchia theorem. J. Optim. Theory Appl. 74: 445\u2013456","journal-title":"J. Optim. Theory Appl."},{"key":"9177_CR4","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1016\/0022-247X(90)90270-P","volume":"153","author":"G.Y. Chen","year":"1990","unstructured":"Chen G.Y., Yang X.Q. (1990). The vector complementarity problem and its equivalence with the weak minimal element in ordered spaces. J. Math. Anal. Appl. 153: 136\u2013158","journal-title":"J. Math. Anal. Appl."},{"key":"9177_CR5","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1007\/s10898-003-2684-1","volume":"32","author":"Y. Chiang","year":"2005","unstructured":"Chiang Y. (2005). Semicontinuous mapping in t. v. s. with applications to mixed vector variational-like inequalities. J. Global Optim. 32: 467\u2013486","journal-title":"J. Global Optim."},{"key":"9177_CR6","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1017\/S0004972700021882","volume":"54","author":"A. Daniilidis","year":"1996","unstructured":"Daniilidis A., Hadjisavvas N. (1996). Existence theorems for vector variational inequalities. Bull. Austral. Math. Soc. 54: 473\u2013481","journal-title":"Bull. Austral. Math. Soc."},{"key":"9177_CR7","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/s10957-005-2663-4","volume":"126","author":"M. Fakhar","year":"2005","unstructured":"Fakhar M., Zafarani J. (2005). Generalized vector equilibrium problems for pseudomonotone bifunctions. J. Optim. Theory Appl. 126: 109\u2013124","journal-title":"J. Optim. Theory Appl."},{"key":"9177_CR8","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1023\/A:1025499305742","volume":"118","author":"Y.P. Fang","year":"2003","unstructured":"Fang Y.P., Huang N.J. (2003). Variational-like inequalities with generalized monotone mapping in Banach spaces. J. Optim. Theory Appl. 118: 327\u2013338","journal-title":"J. Optim. Theory Appl."},{"key":"9177_CR9","first-page":"151","volume-title":"Variational Inequalities and Complementarity Problems","author":"F. Giannessi","year":"1980","unstructured":"Giannessi F. (1980). Theorems of the alternative quadratic programs and complementarity problems. In: Cottle, R.W., Giannessi, F., Lions, J.L. (eds) Variational Inequalities and Complementarity Problems, pp 151\u2013186. John Wiley, Chichester"},{"key":"9177_CR10","volume-title":"On Minty Variational Principle, New Trends in Mathematical Programming","author":"F. Giannessi","year":"1997","unstructured":"Giannessi F. (1997). On Minty Variational Principle, New Trends in Mathematical Programming. Kluwer Academic Publishers, Dordrecht, Netherlands"},{"key":"9177_CR11","volume-title":"Vector Variational Inequalities and Vector Equilibria","year":"2000","unstructured":"(2000). Vector Variational Inequalities and Vector Equilibria. Kluwer Academic Publishers, Dordrecht, Holland"},{"key":"9177_CR12","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-1358-6","volume-title":"Variational Inequalities and Network Equilibrium Problems","author":"F. Giannessi","year":"1995","unstructured":"Giannessi F., Maugeri A. (1995). Variational Inequalities and Network Equilibrium Problems. Plenum Press, New York"},{"key":"9177_CR13","volume-title":"Variational Analysis and Applications, Non convex Optimization and Its Applications, vol. 79","author":"F. Giannessi","year":"2005","unstructured":"Giannessi F., Maugeri A. (2005). Variational Analysis and Applications, Non convex Optimization and Its Applications, vol. 79. Springer, New York"},{"key":"9177_CR14","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1007\/s10898-003-2686-z","volume":"32","author":"N.J. Huang","year":"2005","unstructured":"Huang N.J., Fang Y.P. (2005). On vector variational-like inequalities in reflexive Banach spaces. J. Global Optim. 32: 495\u2013505","journal-title":"J. Global Optim."},{"key":"9177_CR15","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1007\/s10898-006-9006-3","volume":"36","author":"T. Jabarootian","year":"2006","unstructured":"Jabarootian T., Zafarani J. (2006). Generalized invariant monotonicity and invexity of nondifferentiable functions. J. Global Optim. 36: 537\u2013564","journal-title":"J. Global Optim."},{"key":"9177_CR16","doi-asserted-by":"crossref","unstructured":"Jabarootian, T., Zafarani, J.: Generalized vector variational-like inequalities, J. Optim. Theory Appl. 135(2), November (2007)","DOI":"10.1515\/JAA.2007.291"},{"key":"9177_CR17","doi-asserted-by":"crossref","first-page":"879","DOI":"10.1016\/j.na.2004.07.043","volume":"59","author":"M.F., Khan","year":"2004","unstructured":"Khan M.F., Salahuddin (2004). On generalized vector variational-like inequalities. Nonlinear Anal. 59: 879\u2013889","journal-title":"Nonlinear Anal."},{"key":"9177_CR18","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1006\/jmaa.1997.5192","volume":"206","author":"I.V. Konnov","year":"1997","unstructured":"Konnov I.V., Yao J.C. (1997). On the generalized vector variational inequality problem. J. Math. Anal. Appl. 206: 42\u201358","journal-title":"J. Math. Anal. Appl."},{"key":"9177_CR19","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/S0893-9659(99)00055-5","volume":"12","author":"B.S. Lee","year":"1999","unstructured":"Lee B.S., Lee G.M. (1999). A vector version of Minty lemma and applications. Appl. Math. Lett. 12: 43\u201350","journal-title":"Appl. Math. Lett."},{"key":"9177_CR20","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1017\/S0004972700016725","volume":"53","author":"L.J. Lin","year":"1996","unstructured":"Lin L.J. (1996). Pre-vector variational inequalities. Bull. Austral. Math. Soc. 53: 63\u201370","journal-title":"Bull. Austral. Math. Soc."},{"key":"9177_CR21","doi-asserted-by":"crossref","first-page":"475","DOI":"10.2140\/pjm.1969.30.475","volume":"30","author":"S.B. Nadler Jr","year":"1969","unstructured":"Nadler S.B. Jr (1969). Multi-valued contraction mappings. Pacific J. Math. 30: 475\u2013488","journal-title":"Pacific J. Math."},{"key":"9177_CR22","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1023\/A:1022694427027","volume":"95","author":"X.Q. Yang","year":"1997","unstructured":"Yang X.Q. (1997). On vector variational inequalities: application to vector equilibria. J. Optim. Theory Appl. 95: 729\u2013734","journal-title":"J. Optim. Theory Appl."},{"key":"9177_CR23","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1023\/A:1022647607947","volume":"95","author":"X.Q. Yang","year":"1997","unstructured":"Yang X.Q., Goh C.J. (1997). On vector variational inequality with application to vector traffic equilibria. J. Optim. Theory Appl. 95: 431\u2013443","journal-title":"J. Optim. Theory Appl."},{"key":"9177_CR24","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1007\/s10898-005-5509-6","volume":"36","author":"L. Zeng","year":"2006","unstructured":"Zeng L., Yao J. (2006). Existence of solutions of generalized vector variational inequalities in reflexive Banach spaces. J. Global Optim. 36: 483\u2013497","journal-title":"J. Global Optim."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-007-9177-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-007-9177-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-007-9177-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T08:12:08Z","timestamp":1559290328000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-007-9177-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,7,7]]},"references-count":24,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2008,3]]}},"alternative-id":["9177"],"URL":"https:\/\/doi.org\/10.1007\/s10898-007-9177-6","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,7,7]]}}}