{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T22:28:26Z","timestamp":1783031306394,"version":"3.54.6"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,6,4]],"date-time":"2018-06-04T00:00:00Z","timestamp":1528070400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2018,10]]},"DOI":"10.1007\/s10957-018-1319-0","type":"journal-article","created":{"date-parts":[[2018,6,4]],"date-time":"2018-06-04T13:20:27Z","timestamp":1528118427000},"page":"53-64","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["A Ky Fan Minimax Inequality for Quasiequilibria on Finite-Dimensional Spaces"],"prefix":"10.1007","volume":"179","author":[{"given":"Marco","family":"Castellani","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Massimiliano","family":"Giuli","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0258-724X","authenticated-orcid":false,"given":"Massimo","family":"Pappalardo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2018,6,4]]},"reference":[{"key":"1319_CR1","first-page":"103","volume-title":"Inequalities III","author":"K Fan","year":"1972","unstructured":"Fan, K.: A minimax inequality and applications. In: Shisha, O. (ed.) Inequalities III, pp. 103\u2013113. Academic Press, New York (1972)"},{"key":"1319_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ejor.2012.11.037","volume":"227","author":"G Bigi","year":"2013","unstructured":"Bigi, G., Castellani, M., Pappalardo, M., Passacantando, M.: Existence and solution methods for equilibria. Eur. J. Oper. Res. 227, 1\u201311 (2013)","journal-title":"Eur. J. Oper. Res."},{"key":"1319_CR3","first-page":"1279","volume":"276","author":"A Bensoussan","year":"1973","unstructured":"Bensoussan, A., Goursat, M., Lions, J.L.: Contr\u00f4le impulsionnel et in\u00e9quations quasi-variationnelles stationnaires. C.R. Acad. Sci. Paris S\u00e9r. A 276, 1279\u20131284 (1973)","journal-title":"C.R. Acad. Sci. Paris S\u00e9r. A"},{"key":"1319_CR4","doi-asserted-by":"crossref","unstructured":"Mosco, U.: Implicit variational problems and quasi variational inequalities. In: Lecture Notes in Mathematics, vol. 543, pp. 83\u2013156. Springer, Berlin (1976)","DOI":"10.1007\/BFb0079943"},{"key":"1319_CR5","doi-asserted-by":"publisher","first-page":"629","DOI":"10.1007\/s10957-015-0854-1","volume":"170","author":"B Alleche","year":"2016","unstructured":"Alleche, B., R\u0103dulescu, V.D.: Solutions and approximate solutions of quasi-equilibrium problems in Banach spaces. J. Optim. Theory Appl. 170, 629\u2013649 (2016)","journal-title":"J. Optim. Theory Appl."},{"key":"1319_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02959-6","volume-title":"Optima and Equilibria","author":"JP Aubin","year":"1993","unstructured":"Aubin, J.P.: Optima and Equilibria. Springer, Berlin (1993)"},{"key":"1319_CR7","first-page":"55","volume":"24","author":"D Aussel","year":"2017","unstructured":"Aussel, D., Cotrina, J., Iusem, A.: Existence results for quasi-equilibrium problems. J. Convex Anal. 24, 55\u201366 (2017)","journal-title":"J. Convex Anal."},{"key":"1319_CR8","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1016\/j.jmaa.2014.12.022","volume":"425","author":"M Castellani","year":"2015","unstructured":"Castellani, M., Giuli, M.: An existence result for quasiequilibrium problems in separable Banach spaces. J. Math. Anal. Appl. 425, 85\u201395 (2015)","journal-title":"J. Math. Anal. Appl."},{"key":"1319_CR9","doi-asserted-by":"publisher","first-page":"615","DOI":"10.1007\/s10898-015-0386-0","volume":"64","author":"M Castellani","year":"2016","unstructured":"Castellani, M., Giuli, M.: Approximate solutions of quasiequilibrium problems in Banach spaces. J. Glob. Optim. 64, 615\u2013620 (2016)","journal-title":"J. Glob. Optim."},{"key":"1319_CR10","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1016\/0898-1221(95)00171-T","volume":"30","author":"P Cubiotti","year":"1995","unstructured":"Cubiotti, P.: Existence of solutions for lower semicontinuous quasiequilibrium problems. Comput. Math. Appl. 30, 11\u201322 (1995)","journal-title":"Comput. Math. Appl."},{"key":"1319_CR11","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1007\/BF01295855","volume":"26","author":"P Cubiotti","year":"1997","unstructured":"Cubiotti, P.: Existence of Nash equilibria for generalized games without upper semicontinuity. Int. J. Game Theory 26, 267\u2013273 (1997)","journal-title":"Int. J. Game Theory"},{"key":"1319_CR12","doi-asserted-by":"publisher","first-page":"361","DOI":"10.2307\/1969615","volume":"63","author":"E Michael","year":"1956","unstructured":"Michael, E.: Continuous selections. I. Ann. Math. 63, 361\u2013382 (1956)","journal-title":"Ann. Math."},{"key":"1319_CR13","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511625756","volume-title":"Fixed Point Theorems with Applications to Economics and Game Theory","author":"KC Border","year":"1985","unstructured":"Border, K.C.: Fixed Point Theorems with Applications to Economics and Game Theory. Cambridge University Press, Cambridge (1985)"},{"key":"1319_CR14","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1007\/BF01182980","volume":"28","author":"YJ Lin","year":"1993","unstructured":"Lin, Y.J., Tian, G.Q.: Minimax inequalities equivalent to the Fan-Knaster-Kuratowski-Mazurkiewicz theorems. Appl. Math. Optim. 28, 173\u2013179 (1993)","journal-title":"Appl. Math. Optim."},{"key":"1319_CR15","first-page":"175","volume":"27","author":"NS Papageorgiou","year":"1991","unstructured":"Papageorgiou, N.S.: On the existence of \n                    \n                      \n                    \n                    $$\\psi $$\n                    \n                      \n                        \u03c8\n                      \n                    \n                  -minimal viable solutions for a class of differential inclusions. Arch. Math. 27, 175\u2013182 (1991)","journal-title":"Arch. Math."},{"key":"1319_CR16","doi-asserted-by":"publisher","first-page":"839","DOI":"10.1006\/jmaa.1995.1271","volume":"193","author":"J Zhou","year":"1995","unstructured":"Zhou, J.: On the existence of equilibrium for abstract economies. J. Math. Anal. Appl. 193, 839\u2013858 (1995)","journal-title":"J. Math. Anal. Appl."},{"key":"1319_CR17","doi-asserted-by":"crossref","unstructured":"Yuan, G.X.-Z.: The study of minimax inequalities and applications to economies and variational inequalities. Memoirs of the American Mathematical Society, Providence, Rhode Island, vol. 132 (1998)","DOI":"10.1090\/memo\/0625"},{"key":"1319_CR18","doi-asserted-by":"publisher","first-page":"121","DOI":"10.4236\/tel.2012.22022","volume":"2","author":"A Bagh","year":"2012","unstructured":"Bagh, A.: Lower hemi-continuity, open sections, and convexity: counter examples in infinite dimensional spaces. Theor. Econ. Lett. 2, 121\u2013124 (2012)","journal-title":"Theor. Econ. Lett."},{"key":"1319_CR19","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1016\/0304-4068(76)90012-4","volume":"3","author":"TC Bergstrom","year":"1976","unstructured":"Bergstrom, T.C., Parks, R.P., Rader, T.: Preferences which have open graphs. J. Math. Econ. 3, 265\u2013268 (1976)","journal-title":"J. Math. Econ."},{"key":"1319_CR20","doi-asserted-by":"publisher","first-page":"719","DOI":"10.1007\/BF01305758","volume":"24","author":"Y Borisovich","year":"1984","unstructured":"Borisovich, Y., Gel\u2019man, B.D., Myshkis, A.D., Obukhovskii, V.V.: Multivalued mappings. J. Sov. Math. 24, 719\u2013791 (1984)","journal-title":"J. Sov. Math."},{"key":"1319_CR21","doi-asserted-by":"publisher","DOI":"10.1515\/9781400873173","volume-title":"Convex Analysis","author":"RT Rockafellar","year":"1970","unstructured":"Rockafellar, R.T.: Convex Analysis. Princeton University Press, Princeton (1970)"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-018-1319-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-018-1319-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-018-1319-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,3]],"date-time":"2019-06-03T19:24:00Z","timestamp":1559589840000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-018-1319-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,4]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,10]]}},"alternative-id":["1319"],"URL":"https:\/\/doi.org\/10.1007\/s10957-018-1319-0","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,6,4]]},"assertion":[{"value":"5 December 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 May 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 June 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}