{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T19:08:56Z","timestamp":1775070536310,"version":"3.50.1"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2019,7,18]],"date-time":"2019-07-18T00:00:00Z","timestamp":1563408000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,7,18]],"date-time":"2019-07-18T00:00:00Z","timestamp":1563408000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2019,9]]},"DOI":"10.1007\/s10898-019-00811-z","type":"journal-article","created":{"date-parts":[[2019,7,18]],"date-time":"2019-07-18T07:03:21Z","timestamp":1563433401000},"page":"163-176","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A coercivity condition for nonmonotone quasiequilibria on finite-dimensional spaces"],"prefix":"10.1007","volume":"75","author":[{"given":"M.","family":"Castellani","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9555-3497","authenticated-orcid":false,"given":"M.","family":"Giuli","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,7,18]]},"reference":[{"key":"811_CR1","volume-title":"Infinite Dimensional Analysis. A Hitchhikers Guide","author":"CD Aliprantis","year":"2006","unstructured":"Aliprantis, C.D., Border, K.C.: Infinite Dimensional Analysis. A Hitchhikers Guide. Springer, Berlin (2006)"},{"key":"811_CR2","doi-asserted-by":"publisher","first-page":"265","DOI":"10.2307\/1907353","volume":"22","author":"KJ Arrow","year":"1954","unstructured":"Arrow, K.J., Debreu, G.: Existence of an equilibrium for a competitive economy. Econometrica 22, 265\u2013290 (1954)","journal-title":"Econometrica"},{"key":"811_CR3","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":"811_CR4","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":"811_CR5","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":"811_CR6","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1016\/S0167-6377(03)00051-8","volume":"31","author":"M Bianchi","year":"2003","unstructured":"Bianchi, M., Pini, R.: A note on stability for parametric equilibrium problems. Oper. Res. Lett. 31, 445\u2013450 (2003)","journal-title":"Oper. Res. Lett."},{"key":"811_CR7","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1016\/S0191-2615(02)00025-5","volume":"37","author":"MCJ Bliemer","year":"2003","unstructured":"Bliemer, M.C.J., Bovy, P.H.L.: Quasi-variational inequality formulation of the multiclass dynamic traffic assignment problem. Transp. Res. Part B 37, 501\u2013519 (2003)","journal-title":"Transp. Res. Part B"},{"key":"811_CR8","first-page":"123","volume":"63","author":"E Blum","year":"1994","unstructured":"Blum, E., Oettli, W.: From optimization and variational inequalities to equilibrium problems. Math. Stud. 63, 123\u2013145 (1994)","journal-title":"Math. Stud."},{"key":"811_CR9","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":"811_CR10","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1016\/j.ejor.2004.04.026","volume":"168","author":"M Breton","year":"2005","unstructured":"Breton, M., Zaccour, G., Zahaf, M.: A game-theoretic formulation of joint implementation of environmental projects. Eur. J. Oper. Res. 168, 221\u2013239 (2005)","journal-title":"Eur. J. Oper. Res."},{"key":"811_CR11","first-page":"293","volume":"6","author":"H Br\u00e9zis","year":"1972","unstructured":"Br\u00e9zis, H., Nirenberg, L., Stampacchia, G.: A remark on Ky Fan\u2019s minimax principle. Boll. Un. Mat. Ital. 6, 293\u2013300 (1972)","journal-title":"Boll. Un. Mat. Ital."},{"key":"811_CR12","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1007\/s10898-012-0021-2","volume":"57","author":"M Castellani","year":"2013","unstructured":"Castellani, M., Giuli, M.: Refinements of existence results for relaxed quasimonotone equilibrium problems. J. Glob. Optim. 57, 213\u2013227 (2013)","journal-title":"J. Glob. Optim."},{"key":"811_CR13","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":"811_CR14","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1007\/s10957-018-1319-0","volume":"179","author":"M Castellani","year":"2018","unstructured":"Castellani, M., Giuli, M., Pappalardo, M.: A Ky Fan minimax inequality for quasiequilibria on finite dimensional spaces. J. Optim. Theory Appl. 179, 53\u201364 (2018)","journal-title":"J. Optim. Theory Appl."},{"key":"811_CR15","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":"811_CR16","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":"811_CR17","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1080\/02331930801951090","volume":"59","author":"AP Farajzadeh","year":"2010","unstructured":"Farajzadeh, A.P., Zafarani, J.: Equilibrium problems and variational inequalities in topological vector spaces. Optimization 59, 485\u2013499 (2010)","journal-title":"Optimization"},{"key":"811_CR18","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1016\/0304-4068(75)90009-9","volume":"2","author":"D Gale","year":"1975","unstructured":"Gale, D., Mas-Colell, A.: An equilibrium existence theorem for a general model without ordered preferences. J. Math. Econ. 2, 9\u201315 (1975)","journal-title":"J. Math. Econ."},{"key":"811_CR19","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1215\/S0012-7094-41-00838-4","volume":"8","author":"S Kakutani","year":"1941","unstructured":"Kakutani, S.: A generalization of Brouwer\u2019s fixed point theorem. Duke Math. J. 8, 457\u2013459 (1941)","journal-title":"Duke Math. J."},{"key":"811_CR20","volume-title":"General Topology","author":"JL Kelley","year":"1975","unstructured":"Kelley, J.L.: General Topology. Springer, New York (1975)"},{"key":"811_CR21","doi-asserted-by":"publisher","first-page":"575","DOI":"10.1007\/s10898-010-9551-7","volume":"49","author":"IV Konnov","year":"2011","unstructured":"Konnov, I.V., Dyabilkin, D.A.: Nonmonotone equilibrium problems: coercivity conditions and weak regularization. J. Glob. Optim. 49, 575\u2013587 (2011)","journal-title":"J. Glob. Optim."},{"key":"811_CR22","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":"811_CR23","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1007\/BFb0079943","volume-title":"Nonlinear Operators and the Calculus of Variations. Lecture Notes in Mathematics","author":"U Mosco","year":"1976","unstructured":"Mosco, U.: Implicit variational problems and quasi variational inequalities. In: Gossez, J.P., Dozo, E.J.L., Mawhin, J., Waelbroeck, L. (eds.) Nonlinear Operators and the Calculus of Variations. Lecture Notes in Mathematics, vol. 543, pp. 83\u2013156. Springer, Berlin (1976)"},{"key":"811_CR24","doi-asserted-by":"publisher","first-page":"3471","DOI":"10.1109\/TIT.2008.926399","volume":"54","author":"J-S Pang","year":"2008","unstructured":"Pang, J.-S., Scutari, G., Facchinei, F., Wang, C.: Distributed power allocation with rate constraints in Gaussian parallel interference channels. IEEE Trans. Inf. Theory 54, 3471\u20133489 (2008)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"811_CR25","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)"},{"key":"811_CR26","doi-asserted-by":"publisher","first-page":"102","DOI":"10.1287\/opre.47.1.102","volume":"47","author":"J-Y Wei","year":"1999","unstructured":"Wei, J.-Y., Smeers, Y.: Spatial oligopolistic electricity models with Cournot generators and regulated transmission prices. Oper. Res. 47, 102\u2013112 (1999)","journal-title":"Oper. Res."},{"key":"811_CR27","volume-title":"The Study of Minimax Inequalities and Applications to Economies and Variational Inequalities","author":"GX-Z Yuan","year":"1998","unstructured":"Yuan, G.X.-Z.: The Study of Minimax Inequalities and Applications to Economies and Variational Inequalities, vol. 132. Memoirs of the American Mathematical Society, Providence (1998)"}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-019-00811-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-019-00811-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-019-00811-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,16]],"date-time":"2020-07-16T23:12:04Z","timestamp":1594941124000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-019-00811-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,18]]},"references-count":27,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,9]]}},"alternative-id":["811"],"URL":"https:\/\/doi.org\/10.1007\/s10898-019-00811-z","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,7,18]]},"assertion":[{"value":"22 January 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 July 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 July 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}