{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,5,14]],"date-time":"2023-05-14T10:10:52Z","timestamp":1684059052776},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2007,10,5]],"date-time":"2007-10-05T00:00:00Z","timestamp":1191542400000},"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\/s10898-007-9233-2","type":"journal-article","created":{"date-parts":[[2007,10,4]],"date-time":"2007-10-04T12:14:12Z","timestamp":1191500052000},"page":"129-146","source":"Crossref","is-referenced-by-count":2,"title":["Nonlinear analysis and complementarity theory"],"prefix":"10.1007","volume":"40","author":[{"given":"George","family":"Isac","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,10,5]]},"reference":[{"key":"9233_CR1","volume-title":"Lecture on some fixed point theorems","author":"H. Amann","year":"1974","unstructured":"Amann H. (1974). Lecture on some fixed point theorems. IMPA, Rio de Janeiro"},{"key":"9233_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0273-0979-1983-15153-4","volume":"9","author":"F.E. Brouder","year":"1983","unstructured":"Brouder F.E. (1983). Fixed point theory and nonlinear problems. Bull. Am. Math. Soc. 9: 1\u201339","journal-title":"Bull. Am. Math. Soc."},{"key":"9233_CR3","first-page":"1005","volume":"21","author":"A. Carbone","year":"2002","unstructured":"Carbone A. and Zabreiko P. (2002). Some remakrs on complementarity problems in a Hilbert space. J. Anal. Appl. 21: 1005\u20131014","journal-title":"J. Anal. Appl."},{"key":"9233_CR4","first-page":"31","volume":"22","author":"A. Carbone","year":"2003","unstructured":"Carbone A. and Zabreiko P. (2003). Explicit and implicit complementarity problems in Hilbert spaces. J. Anal. Appl. 22: 31\u201341","journal-title":"J. Anal. Appl."},{"key":"9233_CR5","doi-asserted-by":"crossref","unstructured":"Ciarlet, P.G., Rabier, P.: Lecture notes in mathematics. In: Les \u00e99quations de Van K\u00e1rm\u00e1n, vol. 826. Springer-Verlag (1980)","DOI":"10.1007\/BFb0091528"},{"key":"9233_CR6","first-page":"337","volume":"290","author":"A. Cimeti\u00e8re","year":"1980","unstructured":"Cimeti\u00e8re A. (1980). Flambement unilat\u00e99ral d\u2019une plaque reposant sans frottement sur un support \u00e9lastique tridimensionnel. C. R. Acad. Sc. Paris, S\u00e9rie B 290: 337\u2013340","journal-title":"C. R. Acad. Sc. Paris, S\u00e9rie B"},{"issue":"1","key":"9233_CR7","first-page":"183","volume":"19","author":"A. Cimeti\u00e8re","year":"1980","unstructured":"Cimeti\u00e8re A. (1980). Un probl\u00e8me de flambement unilat\u00e99ral en th\u00e9orie des plaques. J. M\u00e9canique 19(1): 183\u2013202","journal-title":"J. M\u00e9canique"},{"issue":"15","key":"9233_CR8","first-page":"565","volume":"300","author":"A. Cimeti\u00e8re","year":"1985","unstructured":"Cimeti\u00e8re A. (1985). M\u00e99thode de Liapounov-Schmidt et branche de bifurcation pour une classe d\u2019in\u00e99quations variationnelles. C. R. Acad. Sc. Paris, S\u00e9rie I 300(15): 565\u2013568","journal-title":"C. R. Acad. Sc. Paris, S\u00e9rie I"},{"key":"9233_CR9","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1098\/rspa.1972.0069","volume":"328","author":"E. Edmunds","year":"1972","unstructured":"Edmunds E., Potter J. and Stuart C. (1972). Non-compact positive operators. Proc. R. Soc. Lond. 328: 67\u201381","journal-title":"Proc. R. Soc. Lond."},{"key":"9233_CR10","first-page":"1","volume":"30","author":"A. Granas","year":"1962","unstructured":"Granas A. (1962). The theory of compact vector fields and some of its applications to topology of functional spaces (I). Fozparawy Mat. 30: 1\u201393","journal-title":"Fozparawy Mat."},{"key":"9233_CR11","doi-asserted-by":"crossref","DOI":"10.1142\/2998","volume-title":"Topics in Nonlinear Analysis and Applications","author":"D. Hyers","year":"1997","unstructured":"Hyers D., Isac G. and Rassias T.M. (1997). Topics in Nonlinear Analysis and Applications. World Scientific, Singapore"},{"issue":"1","key":"9233_CR12","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0022-247X(89)90038-3","volume":"143","author":"G. Isac","year":"1989","unstructured":"Isac G. (1989). The numerical range theory and boundedness of solutions of the complementarity problem. J. Math. Anal. Appl. 143(1): 235\u2013251","journal-title":"J. Math. Anal. Appl."},{"key":"9233_CR13","doi-asserted-by":"crossref","unstructured":"Isac, G.: Complementarity Problems. In: Lecture Notes in Mathematics, vol. 1528. Springer-Verlag (1992)","DOI":"10.1007\/BFb0084653"},{"key":"9233_CR14","doi-asserted-by":"crossref","first-page":"1433","DOI":"10.1016\/S0895-7177(00)00215-6","volume":"32","author":"G. Isac","year":"2000","unstructured":"Isac G. (2000). (0, k)-Epi mappings. Applications to complementarity theory. Math. Comput. Model. 32: 1433\u20131444","journal-title":"Applications to complementarity theory. Math. Comput. Model."},{"key":"9233_CR15","doi-asserted-by":"crossref","unstructured":"Isac, G.: Topological methods in Complementarity theory. Kluwer Academics Publishers (2000)","DOI":"10.1007\/978-1-4757-3141-5"},{"key":"9233_CR16","doi-asserted-by":"crossref","first-page":"191","DOI":"10.12775\/TMNA.2001.031","volume":"18","author":"G. Isac","year":"2001","unstructured":"Isac G. (2001). Leray-Schauder type alternatives and the solvability of complimentarity problems. Topol. Methods Nonlinear Anal. 18: 191\u2013204","journal-title":"Topol. Methods Nonlinear Anal."},{"key":"9233_CR17","unstructured":"Isac, G.: Asymptotic derivable fields and nonlinear complementarity problems. Reprint (2006)"},{"key":"9233_CR18","unstructured":"Isac, G.: Leray-Schauder Type Alternatives, Complementary Problems and Variational Inequalities. Springer (2006)"},{"key":"9233_CR19","unstructured":"Isac, G.: Quasi-bounded mappings and complementarity problems depending of parameters. Reprint (2006)"},{"key":"9233_CR20","doi-asserted-by":"crossref","first-page":"977","DOI":"10.1016\/j.aml.2003.06.012","volume":"17","author":"G. Isac","year":"2004","unstructured":"Isac G. and Avramescu C. (2004). Some general solvability theorems. Appl. Math. Lett. 17: 977\u2013983","journal-title":"Appl. Math. Lett."},{"issue":"1","key":"9233_CR21","first-page":"71","volume":"5","author":"G. Isac","year":"2004","unstructured":"Isac G. and Avramescu C. (2004). Some solvability theorems for nonlinear equations. Fixed Point Theory 5(1): 71\u201380","journal-title":"Fixed Point Theory"},{"key":"9233_CR22","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1023\/A:1008284330108","volume":"10","author":"G. Isac","year":"1997","unstructured":"Isac G., Bulavsky V. and Kalashnikov V. (1997). Exceptional families topological degree and complementarity problems. J. Global Opt. 10: 207\u2013225","journal-title":"J. Global Opt."},{"key":"9233_CR23","doi-asserted-by":"crossref","unstructured":"Isac, G., Bulavsky, V., Kalashnikov, V.: Complementarity, Equilibrium, Efficiency and Economics. Kluwer Academic Publishers (2002)","DOI":"10.1007\/978-1-4757-3623-6"},{"key":"9233_CR24","unstructured":"Isac G. and Gowda M. (1993). Operators of class $$(S)_+^1$$ :Altman\u2019s condition and the complementarity problem. J. Fac. Sci. Univ. Tokyo, Sec IA 40(1)"},{"issue":"1","key":"9233_CR25","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1023\/A:1017509704362","volume":"109","author":"G. Isac","year":"2001","unstructured":"Isac G. and Kalashnikov V. (2001). Exceptional families of elements, leray-Schauder alternative, pseudomonotone operators and complementarity. J. Opt. Theory Appl. 109(1): 19\u201383","journal-title":"J. Opt. Theory Appl."},{"key":"9233_CR26","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/S0022-247X(02)00631-5","volume":"278","author":"G. Isac","year":"2003","unstructured":"Isac G. and N\u00e9meth S. (2003). Scalar derivatives and scalar asymptotic derivatives: properties and some applications. J. Math. Anal. Appl. 278: 149\u2013170","journal-title":"J. Math. Anal. Appl."},{"key":"9233_CR27","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1016\/j.jmaa.2003.10.030","volume":"290","author":"G. Isac","year":"2004","unstructured":"Isac G. and N\u00e9meth S. (2004). Scalar derivatives and scalar asymptotic derivatives. an Altman type fixed point theorem on convex cones and some applications. J. Math. Anal. Appl. 290: 452\u2013468","journal-title":"J. Math. Anal. Appl."},{"key":"9233_CR28","unstructured":"Isac, G., N\u00e9meth, S.: REFE-acceptable mappings and necessary and sufficient conditions for the non existence of the regular exceptional family of elements. J. Opt. Theory Appl. (forthcoming)"},{"key":"9233_CR29","unstructured":"Isac, G., N\u00e9meth, S.: Scalar derivatives and scalar asymptotic derivatives. Theory and applications. Springer (forthcoming)"},{"key":"9233_CR30","volume-title":"Topological Methods in the Theory of Nonlinear Integral Equations (in Russian)","author":"M. Krasnoselskii","year":"1956","unstructured":"Krasnoselskii M. (1956). Topological Methods in the Theory of Nonlinear Integral Equations (in Russian). Gostekhizdat, Moscow"},{"key":"9233_CR31","volume-title":"Positive Solutions of Operator Equations","author":"M. Krasnoselskii","year":"1964","unstructured":"Krasnoselskii M. (1964). Positive Solutions of Operator Equations. Noordhoff, Groningen"},{"key":"9233_CR32","doi-asserted-by":"crossref","unstructured":"Le, V.K., Schmitt, K.: Global Bifurcation in Variational Inequalities. Springer (1997)","DOI":"10.1007\/978-1-4612-1820-3"},{"key":"9233_CR33","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1090\/S0002-9947-1961-0133024-2","volume":"100","author":"G. Lumer","year":"1961","unstructured":"Lumer G. (1961). Semi-inner-product spaces. Trans. Am. Math. Soc. 100: 29\u201343","journal-title":"Trans. Am. Math. Soc."},{"issue":"2","key":"9233_CR34","first-page":"5","volume":"3","author":"C. Miranda","year":"1940\u20131941","unstructured":"Miranda C. (1940\u20131941). Un\u2019 osservazione su un teorema di Brower. Bull. U. M. I. 3(2): 5\u20137","journal-title":"Bull. U. M. I."},{"key":"9233_CR35","first-page":"7","volume":"10","author":"S.Z. N\u00e9meth","year":"1992","unstructured":"N\u00e9meth S.Z. (1992). A scalar derivative for vector functions. Riv. Matematica Pura Appl. 10: 7\u201324","journal-title":"Riv. Matematica Pura Appl."},{"issue":"1","key":"9233_CR36","first-page":"49","volume":"35","author":"S.Z. N\u00e9meth","year":"1993","unstructured":"N\u00e9meth S.Z. (1993). Scalar derivatives and spectral theory. Matematica 35(1): 49\u201358","journal-title":"Matematica"},{"key":"9233_CR37","unstructured":"Robinson, S.: Homeomorphism conditions for normal maps of polyhedra, Optimization and Nonlinear analysis. Longman, London"},{"issue":"3","key":"9233_CR38","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1287\/moor.17.3.691","volume":"17","author":"S. Robinson","year":"1992","unstructured":"Robinson S. (1992). Normal maps induced by linear transformations. Math. Oper. Res 17(3): 691\u2013714","journal-title":"Math. Oper. Res"},{"key":"9233_CR39","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1007\/BF01585176","volume":"62","author":"S. Robinson","year":"1993","unstructured":"Robinson S. (1993). Nonsingularity ans symmetry for linear normal maps. Math. Programming 62: 415\u2013425","journal-title":"Math. Programming"},{"issue":"1","key":"9233_CR40","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1023\/A:1004674330768","volume":"105","author":"Y. Zhao","year":"2000","unstructured":"Zhao Y. and Isac G. (2000). Quasi -P * and P(\u03c4, \u03b1, \u03b2)-maps, exceptional families of elements and complementarity problems. J. Opt. Theory Appl. 105(1): 213\u2013231","journal-title":"J. Opt. Theory Appl."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-007-9233-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-007-9233-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-007-9233-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,14]],"date-time":"2023-05-14T09:47:19Z","timestamp":1684057639000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-007-9233-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,10,5]]},"references-count":40,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2008,3]]}},"alternative-id":["9233"],"URL":"https:\/\/doi.org\/10.1007\/s10898-007-9233-2","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,10,5]]}}}