{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T19:20:53Z","timestamp":1770751253868,"version":"3.50.0"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2016,5,18]],"date-time":"2016-05-18T00:00:00Z","timestamp":1463529600000},"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":[[2016,9]]},"DOI":"10.1007\/s10957-016-0950-x","type":"journal-article","created":{"date-parts":[[2016,5,18]],"date-time":"2016-05-18T19:09:26Z","timestamp":1463598566000},"page":"804-817","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Locally Densely Defined Equilibrium Problems"],"prefix":"10.1007","volume":"170","author":[{"given":"Somaye","family":"Jafari","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ali","family":"Farajzadeh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sirous","family":"Moradi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,5,18]]},"reference":[{"key":"950_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":"950_CR2","doi-asserted-by":"crossref","first-page":"1159","DOI":"10.1016\/0362-546X(92)90159-C","volume":"18","author":"LD Muu","year":"1992","unstructured":"Muu, L.D., Oettli, W.: Convergence of an adaptive penalty scheme for finding constrained equilibria. Nonlinear Anal. 18, 1159\u20131166 (1992)","journal-title":"Nonlinear Anal."},{"key":"950_CR3","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":"950_CR4","doi-asserted-by":"crossref","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":"950_CR5","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1007\/s10957-004-6466-9","volume":"124","author":"M Bianchi","year":"2005","unstructured":"Bianchi, M., Pini, R.: Coercivity conditions for equilibrium problems. J. Optim. Theory Appl. 124, 79\u201392 (2005)","journal-title":"J. Optim. Theory Appl."},{"key":"950_CR6","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1023\/A:1011234525151","volume":"20","author":"M Bianchi","year":"2001","unstructured":"Bianchi, M., Pini, R.: A note on equilibrium problems with properly quasimonotone bifunctions. J. Glob. Optim. 20, 67\u201376 (2001)","journal-title":"J. Glob. Optim."},{"key":"950_CR7","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1007\/BF02192244","volume":"90","author":"M Bianchi","year":"1996","unstructured":"Bianchi, M., Schaible, S.: Generalized monotone bifunctions and equilibrium problems. J. Optim. Theory Appl. 90, 31\u201343 (1996)","journal-title":"J. Optim. Theory Appl."},{"key":"950_CR8","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.jmaa.2007.11.034","volume":"342","author":"G Bigi","year":"2008","unstructured":"Bigi, G., Castellani, M., Kassay, G.: A dual view of equilibrium problems. J. Math. Anal. Appl. 342, 17\u201326 (2008)","journal-title":"J. Math. Anal. Appl."},{"key":"950_CR9","doi-asserted-by":"crossref","first-page":"6456","DOI":"10.1016\/j.na.2012.07.020","volume":"75","author":"R Burachik","year":"2012","unstructured":"Burachik, R., Kassay, G.: On a generalized proximal point method for solving equilibrium problems in Banach spaces. Nonlinear Anal. 75, 6456\u20136464 (2012)","journal-title":"Nonlinear Anal."},{"key":"950_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4613-0299-5","volume-title":"Vector Variational Inequalities and Vector Equilibria. Mathematical Theories","author":"F Giannessi","year":"2000","unstructured":"Giannessi, F.: Vector Variational Inequalities and Vector Equilibria. Mathematical Theories. Kluwer Academic Publishers, Dordrecht (2000)"},{"key":"950_CR11","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/s10107-007-0125-5","volume":"116","author":"AN Iusem","year":"2009","unstructured":"Iusem, A.N., Kassay, G., Sosa, W.: On certain conditions for the existence of solutions of equilibrium problems. Math. Prog. 116, 259\u2013273 (2009)","journal-title":"Math. Prog."},{"key":"950_CR12","doi-asserted-by":"crossref","first-page":"621","DOI":"10.1016\/S0362-546X(02)00154-2","volume":"52","author":"AN Iusem","year":"2003","unstructured":"Iusem, A.N., Sosa, W.: New existence results for equilibrium problems. Nonlinear Anal. 52, 621\u2013635 (2003)","journal-title":"Nonlinear Anal."},{"key":"950_CR13","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1007\/s10957-014-0702-8","volume":"166","author":"S L\u00e1szl\u00f3","year":"2015","unstructured":"L\u00e1szl\u00f3, S., Viorel, A.: Densely defined equilibrium problems. J. Optim. Theory Appl. 166, 52\u201375 (2015)","journal-title":"J. Optim. Theory Appl."},{"key":"950_CR14","doi-asserted-by":"crossref","first-page":"251-68","DOI":"10.1016\/j.nonrwa.2015.10.002","volume":"28","author":"B Alleche","year":"2016","unstructured":"Alleche, B., R\u01cedulescu, V.D.: Set-valued equilibrium problems with applications to Browder variational inclusions and to fixed point theory. Nonlinear Anal. Real World Appl. 28, 251-68 (2016)","journal-title":"Nonlinear Anal. Real World Appl."},{"key":"950_CR15","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1023\/B:JOTA.0000037413.45495.00","volume":"121","author":"D Aussel","year":"2004","unstructured":"Aussel, D., Hadjisavvas, N.: On quasimonotone variational inequalities. J. Optim. Theory Appl. 121, 445\u2013450 (2004)","journal-title":"J. Optim. Theory Appl."},{"key":"950_CR16","doi-asserted-by":"crossref","first-page":"1213","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 problem. J. Glob. Optim. 57, 1213\u20131227 (2013)","journal-title":"J. Glob. Optim."},{"key":"950_CR17","doi-asserted-by":"crossref","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":"950_CR18","unstructured":"Jafari, S., Farajzadeh, A.P.: Existence results for equilibrium problems under strong sign property. Int. J. Nonlinear Anal. Appl. (2016) (accepted manuscript)"},{"key":"950_CR19","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1006\/jmaa.2000.7278","volume":"254","author":"DT Luc","year":"2001","unstructured":"Luc, D.T.: Existence results for densely pseudomonotone variational inequalities. J. Math. Anal. Appl. 254, 291\u2013308 (2001)","journal-title":"J. Math. Anal. Appl."},{"key":"950_CR20","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1007\/s11590-014-0765-3","volume":"9","author":"B Alleche","year":"2015","unstructured":"Alleche, B., R\u01cedulescu, V.D., Sebaoui, M.: The Tikhonov regularization for equilibrium problems and applications to quasihemivariational inequalities. Optim. Lett. 9, 483\u2013503 (2015)","journal-title":"Optim. Lett."},{"key":"950_CR21","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-24828-6","volume-title":"Vector Optimization","author":"J Jahn","year":"2004","unstructured":"Jahn, J.: Vector Optimization. Springer, New York (2004)"},{"key":"950_CR22","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1016\/0022-247X(67)90095-9","volume":"20","author":"S Karamardian","year":"1967","unstructured":"Karamardian, S.: Strictly quasi-convex (concave) functions and duality in mathematical programming. J. Math. Anal. Appl. 20, 344\u2013358 (1967)","journal-title":"J. Math. Anal. Appl."},{"key":"950_CR23","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/BF01353421","volume":"142","author":"K Fan","year":"1961","unstructured":"Fan, K.: A generalization of Tychonoff\u2019s fixed point theorem. Math. Ann. 142, 305\u2013310 (1961)","journal-title":"Math. Ann."},{"key":"950_CR24","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1007\/BF01458545","volume":"266","author":"K Fan","year":"1984","unstructured":"Fan, K.: Some properties of convex sets related to fixed point theorems. Math. Ann. 266, 519\u2013537 (1984)","journal-title":"Math. Ann."},{"key":"950_CR25","doi-asserted-by":"crossref","first-page":"544","DOI":"10.1016\/j.jmaa.2009.10.040","volume":"364","author":"DT Luc","year":"2010","unstructured":"Luc, D.T., Sarabi, E., Soubeyran, A.: Existence of solutions in variational relation problems without convexity. J. Math. Anal. Appl. 364, 544\u2013555 (2010)","journal-title":"J. Math. Anal. Appl."},{"key":"950_CR26","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1016\/0022-247X(92)90030-H","volume":"170","author":"GQ Tian","year":"1992","unstructured":"Tian, G.Q.: Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity. J. Math. Anal. Appl. 170, 457\u2013471 (1992)","journal-title":"J. Math. Anal. Appl."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-016-0950-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-016-0950-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-016-0950-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T09:58:48Z","timestamp":1559469528000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-016-0950-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,5,18]]},"references-count":26,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2016,9]]}},"alternative-id":["950"],"URL":"https:\/\/doi.org\/10.1007\/s10957-016-0950-x","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,5,18]]}}}