{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T09:13:46Z","timestamp":1648804426824},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2006,7,6]],"date-time":"2006-07-06T00:00:00Z","timestamp":1152144000000},"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":[[2007,1,4]]},"DOI":"10.1007\/s10898-006-9048-6","type":"journal-article","created":{"date-parts":[[2006,7,5]],"date-time":"2006-07-05T23:54:02Z","timestamp":1152143642000},"page":"263-274","source":"Crossref","is-referenced-by-count":1,"title":["Discontinuous implicit generalized quasi-variational inequalities in Banach spaces"],"prefix":"10.1007","volume":"37","author":[{"given":"Paolo","family":"Cubiotti","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jen-chih","family":"Yao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,7,6]]},"reference":[{"key":"9048_CR1","unstructured":"Aubin, J.P. Mathematical Methods of Game and Economic Theory. North-Holland, Amsterdam, Holland (1979)"},{"key":"9048_CR2","volume-title":"Variational and Quasivariational Inequalities: Application to Free-Boundary Problems","author":"C. Baiocchi","year":"1984","unstructured":"Baiocchi C., Capelo A. (1984) Variational and Quasivariational Inequalities: Application to Free-Boundary Problems. J Wiley, New York"},{"key":"9048_CR3","first-page":"1189","volume":"276","author":"A. Bensoussan","year":"1973","unstructured":"Bensoussan A., Lions J.L. (1973) Nouvelle formulation de problemes de contr\u00f4le impulsionnel et applications. C. R. Acad. Sci. Paris 276, 1189\u20131192","journal-title":"C. R. Acad. Sci. Paris"},{"key":"9048_CR4","first-page":"1279","volume":"276","author":"A. Bensoussan","year":"1973","unstructured":"Bensoussan A., Goursat M., Lions J.L. (1973) Contr\u00f4le impulsionnel et in\u00e9quations quasi variationnelles stationnaires. C. R. Acad. Sci. Paris 276, 1279\u20131284","journal-title":"C. R. Acad. Sci. Paris"},{"key":"9048_CR5","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1007\/BF01447955","volume":"1","author":"A. Bensoussan","year":"1974","unstructured":"Bensoussan A., Lions J.L. (1974) Nouvelles m\u00e9thodes en contr\u00f4le impulsionnel. Appl. Math. Optim. 1, 289\u2013312","journal-title":"Appl. Math. Optim."},{"key":"9048_CR6","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1287\/moor.7.2.211","volume":"7","author":"D. Chan","year":"1982","unstructured":"Chan D., Pang J.S. (1982) The generalized quasi-variational inequality problem. Math. Oper. Res. 7, 211\u2013222","journal-title":"Math. Oper. Res."},{"key":"9048_CR7","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1007\/BF00939843","volume":"72","author":"P. Cubiotti","year":"1992","unstructured":"Cubiotti P. (1992) Finite-dimensional quasi-variational inequalities associated with discontinuous functions. J. Optim. Theory Appl. 72, 577\u2013582","journal-title":"J. Optim. Theory Appl."},{"key":"9048_CR8","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/BF01039293","volume":"1","author":"P. Cubiotti","year":"1993","unstructured":"Cubiotti P. (1993) An existence theorem for generalized quasi-variational inequalities. Set-Valued Anal. 1, 81\u201387","journal-title":"Set-Valued Anal."},{"key":"9048_CR9","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/BF02192643","volume":"89","author":"P. Cubiotti","year":"1996","unstructured":"Cubiotti P. (1996) Application of quasi-variational inequalities to linear control systems. J. Optim. Theory Appl. 89, 101\u2013113","journal-title":"J. Optim. Theory Appl."},{"key":"9048_CR10","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1023\/A:1022647221266","volume":"92","author":"P. Cubiotti","year":"1997","unstructured":"Cubiotti P. (1997) Generalized quasi-variational inequalities in infinite-dimensional nor-med spaces. J. Optim. Theory Appl. 92, 457\u2013475","journal-title":"J. Optim. Theory Appl."},{"key":"9048_CR11","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1023\/A:1022699205336","volume":"92","author":"P. Cubiotti","year":"1997","unstructured":"Cubiotti P. (1997) Generalized quasi-variational inequalities without continuities. J. Optim. Theory Appl. 92, 477\u2013495","journal-title":"J. Optim. Theory Appl."},{"key":"9048_CR12","volume-title":"Equilibrium Problems and Variational Methods","author":"P. Cubiotti","year":"2001","unstructured":"Cubiotti P. (2001). A theorem of the alternative for linear control systems. In: Giannessi F., Maugeri A., Pardalos P. (eds). Equilibrium Problems and Variational Methods. Kluwer Academic Publishers, Dordrecht"},{"key":"9048_CR13","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1023\/A:1019676929916","volume":"115","author":"P. Cubiotti","year":"2002","unstructured":"Cubiotti P. (2002) On the discontinuous infinite-dimensional generalized quasivariational inequality problem. J. Optim. Theory Appl. 115, 97\u2013111","journal-title":"J. Optim. Theory Appl."},{"key":"9048_CR14","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1023\/B:JOTA.0000006960.70743.63","volume":"119","author":"P. Cubiotti","year":"2003","unstructured":"Cubiotti P. (2003) Existence theorem for the discontinuous generalized quasivariational inequality problem. J. Optim. Theory Appl. 119, 623\u2013633","journal-title":"J. Optim. Theory Appl."},{"key":"9048_CR15","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1007\/BF01217691","volume":"46","author":"P. Cubiotti","year":"1997","unstructured":"Cubiotti P., Yao J.C. (1997) Discontinuous implicit quasi-variational inequalities with applications to fuzzy mappings. Math. Methods Oper. Res. 46, 213\u2013228","journal-title":"Math. Methods Oper. Res."},{"key":"9048_CR16","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1007\/s000130050153","volume":"69","author":"P. Cubiotti","year":"1997","unstructured":"Cubiotti P., Yen N.D. (1997) A Result Related to Ricceri\u2019s Conjecture on Generalized Quasi-Variational Inequalities. Archiv der Mathematik 69, 507\u2013514","journal-title":"Archiv der Mathematik"},{"key":"9048_CR17","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1017\/S0004972700017706","volume":"54","author":"P. Cubiotti","year":"1996","unstructured":"Cubiotti P., Yuan X.Z. (1996) A generalised quasi-variational inequality without upper semicontinuity. Bull. Austral. Math. Soc. 54, 247\u2013254","journal-title":"Bull. Austral. Math. Soc."},{"key":"9048_CR18","volume-title":"Variational Inequalities and Network Equilibrium Problems","author":"M. luca De","year":"1995","unstructured":"De luca M. (1995). Generalized quasi-variational inequalities and traffic equilibrium problem. In: Giannessi F., Maugeri A. (eds). Variational Inequalities and Network Equilibrium Problems. Plenum Press, New York"},{"key":"9048_CR19","doi-asserted-by":"crossref","unstructured":"De Luca M., Maugeri A. Quasi-variational inequalities and applications to equilibrium problems with elastic demand. In: Clarke F.H., Dem\u2019yanov V.F., Giannessi F. (eds). Nonsmooth Optimization and Related Topics Ettore Majorana International Science Series, Plenum Press (1989)","DOI":"10.1007\/978-1-4757-6019-4_5"},{"key":"9048_CR20","first-page":"70","volume-title":"Nonsmooth Optimization. Methods and Applications","author":"M. Luca De","year":"1992","unstructured":"De Luca M., Maugeri A. (1992). Discontinuous quasi-variational inequalities and applications to equilibrium problems. In: Giannessi F. (eds). Nonsmooth Optimization. Methods and Applications. Gordon and Breach Sc. Publ., Amsterdam, pp. 70\u201374"},{"key":"9048_CR21","volume-title":"Linear Operators, Part I","author":"N. Dunford","year":"1958","unstructured":"Dunford N., Schwartz J.T. (1958) Linear Operators, Part I. Wiley, New York"},{"key":"9048_CR22","volume-title":"Variational Inequalities and Network Equilibrium Problems","year":"1995","unstructured":"Giannessi F., Maugeri A. ed. (1995) Variational Inequalities and Network Equilibrium Problems. Plenum Press, New York"},{"key":"9048_CR23","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/BF02591802","volume":"30","author":"P.T. Harker","year":"1984","unstructured":"Harker P.T. (1984) A variational inequality approach for the determination of oligopolistic market equilibrium. Math. Program. 30, 105\u2013111","journal-title":"Math. Program."},{"key":"9048_CR24","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/0377-2217(91)90325-P","volume":"54","author":"P.T. Harker","year":"1991","unstructured":"Harker P.T. (1991) Generalized Nash games and quasi-variational inequalities. Euro J. Oper. Res. 54, 81\u201394","journal-title":"Euro J. Oper. Res."},{"key":"9048_CR25","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/BF01582255","volume":"48","author":"P.T. Harker","year":"1990","unstructured":"Harker P.T., Pang J.S. (1990) Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications. Math. Program. 48, 161\u2013220","journal-title":"Math. Program."},{"key":"9048_CR26","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/BF02392210","volume":"115","author":"P. Hartman","year":"1966","unstructured":"Hartman P., Stampacchia G. (1966) On some nonlinear elliptic differential functional equations. Acta Math. 115, 153\u2013188","journal-title":"Acta Math."},{"key":"9048_CR27","doi-asserted-by":"crossref","unstructured":"Huang S., Yao J.C. (2006) Discontinuous implicit quasi-variational inequalities in normed spaces. J. Optim. Theory Appl. 129(1)","DOI":"10.1007\/s10957-006-9046-3"},{"key":"9048_CR28","volume-title":"Theory of Correspondences","author":"E. Klein","year":"1984","unstructured":"Klein E., Thompson A.C. (1984) Theory of Correspondences. Wiley, New York"},{"key":"9048_CR29","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1006\/jmaa.1997.5625","volume":"214","author":"M.L. Lunsford","year":"1997","unstructured":"Lunsford M.L. (1997) Generalized variational and quasi-variational inequalities with discontinuous operators. J. Math. Anal. Appl. 214, 245\u2013263","journal-title":"J. Math. Anal. Appl."},{"key":"9048_CR30","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/BF01442190","volume":"16","author":"A. Maugeri","year":"1987","unstructured":"Maugeri A. (1987) Convex programming, variational inequalities and applications to the traffic equilibrium problem. Appl. Math. Optim. 16, 169\u2013185","journal-title":"Appl. Math. Optim."},{"key":"9048_CR31","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0079943","volume-title":"Implicit Variational Problems and Quasi-Variational Inequalities","author":"U. Mosco","year":"1976","unstructured":"Mosco U. (1976) Implicit Variational Problems and Quasi-Variational Inequalities. Lecture Notes in Mathematics, vol. 543. Springer, Berlin"},{"key":"9048_CR32","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1017\/S0004972700002690","volume":"39","author":"J. Parida","year":"1989","unstructured":"Parida J., Sahoo M., Kumar A. (1989) A variational-like inequality problem. Bull. Austral. Math. Soc. 39, 225\u2013231","journal-title":"Bull. Austral. Math. Soc."},{"key":"9048_CR33","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0022-247X(87)90025-4","volume":"124","author":"J. Parida","year":"1987","unstructured":"Parida J., Sen A. (1987) A variational-like inequality for multifunctions with applications. J. Math. Anal. Appl. 124, 73\u201381","journal-title":"J. Math. Anal. Appl."},{"key":"9048_CR34","first-page":"885","volume":"301","author":"B. Ricceri","year":"1985","unstructured":"Ricceri B. (1985) Un th\u00e9oreme d\u2019existence pour les in\u00e9quations variationelles. C.R. Acad. Sci. Paris S\u00e9r. I Math. 301, 885\u2013888","journal-title":"C.R. Acad. Sci. Paris S\u00e9r. I Math."},{"key":"9048_CR35","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1016\/0022-247X(85)90029-0","volume":"108","author":"M.H. Shih","year":"1985","unstructured":"Shih M.H., Tan K.K. (1985) Generalized quasi-variational inequalities in locally convex topological vector spaces. J. Math. Anal. Appl. 108, 333\u2013343","journal-title":"J. Math. Anal. Appl."},{"key":"9048_CR36","first-page":"363","volume":"25","author":"A. Spakowski","year":"1985","unstructured":"Spakowski A. (1985) On approximation by step multifunctions. Comment. Math. 25, 363\u2013371","journal-title":"Comment. Math."},{"key":"9048_CR37","first-page":"373","volume":"1","author":"E. Tarafdar","year":"1994","unstructured":"Tarafdar E., Yuan X.Z. (1994) Non-compact generalized quasi-variational inequalities in locally convex topological vector spaces. Nonlin. World 1, 373\u2013383","journal-title":"Nonlin. World"},{"key":"9048_CR38","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/0022-247X(92)90084-Q","volume":"169","author":"X.Q. Yang","year":"1992","unstructured":"Yang X.Q., Chen G.Y. (1992) A class of nonconvex functions and pre-variational inequalities. J. Math. Anal. Appl. 169, 359\u2013373","journal-title":"J. Math. Anal. Appl."},{"key":"9048_CR39","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/0022-247X(91)90273-3","volume":"158","author":"J.C. Yao","year":"1991","unstructured":"Yao J.C. (1991) The generalized quasi-variational inequality problem with applications. J. Math. Anal. Appl. 158, 139\u2013160","journal-title":"J. Math. Anal. Appl."},{"key":"9048_CR40","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1006\/jmaa.1994.1092","volume":"182","author":"J.C. Yao","year":"1994","unstructured":"Yao J.C., Guo J.S. (1994) Variational and generalized variational inequalities with discontinuous mappings. J. Math. Anal. Appl. 182, 371\u2013392","journal-title":"J. Math. Anal. Appl."},{"key":"9048_CR41","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1080\/02331939408843983","volume":"30","author":"N.D. Yen","year":"1994","unstructured":"Yen N.D. (1994) On a class of discontinuous vector-valued functions and the associated quasi-variational inequalities. Optimization 30, 197\u2013203","journal-title":"Optimization"},{"key":"9048_CR42","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01033637","volume":"3","author":"N.D. Yen","year":"1995","unstructured":"Yen N.D. (1995) On an existence theorem for generalized quasi-variational inequalities. Set-Valued Anal. 3, 1\u201310","journal-title":"Set-Valued Anal."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-006-9048-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-006-9048-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-006-9048-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T08:12:06Z","timestamp":1559290326000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-006-9048-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,7,6]]},"references-count":42,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2007,1,4]]}},"alternative-id":["9048"],"URL":"https:\/\/doi.org\/10.1007\/s10898-006-9048-6","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,7,6]]}}}