caa a22 4500 475769678 CHVBK 20180406123616.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1007/PL00011384 doi (NATIONALLICENCE)springer-10.1007/PL00011384 Conditions ensuring the applicability of cutting-plane methods for solving variational inequalities [Elektronische Daten] [Jean-Pierre Crouzeix, Patrice Marcotte, Daoli Zhu] Abstract. : Let VIP(F,C) denote the variational inequality problem associated with the mapping F and the closed convex set C. In this paper we introduce weak conditions on the mapping F that allow the development of a convergent cutting-plane framework for solving VIP(F,C). In the process we introduce, in a natural way, new and useful notions of generalized monotonicity for which first order characterizations are presented. Springer-Verlag Berlin Heidelberg, 2000 Key words: variational inequalities - cutting planes - generalized monotonicity nationallicence Mathematics Subject Classification (1991): 49J40, 90C26 nationallicence Crouzeix Jean-Pierre LIMOS, Université Blaise Pascal, 63177 Aubière Cedex, France, e-mail: crouzeix@ucfma.univ-bpclermont.fr, FR aut Marcotte Patrice DIRO, Université de Montréal, C.P. 6128, succursale Centre-Ville, Montréal, Québec, Canada H3C 3J7, e-mail: marcotte@iro.umontreal.ca, CA aut Zhu Daoli CRT, Université de Montréal, C.P. 6128, succursale Centre-Ville, Montréal, Québec, Canada H3C 3J7, e-mail: daoli@crt.umontreal.ca, CA aut https://doi.org/10.1007/PL00011384 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00011384 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Crouzeix Jean-Pierre LIMOS, Université Blaise Pascal, 63177 Aubière Cedex, France, e-mail: crouzeix@ucfma.univ-bpclermont.fr, FR aut NATIONALLICENCE 700 1- Marcotte Patrice DIRO, Université de Montréal, C.P. 6128, succursale Centre-Ville, Montréal, Québec, Canada H3C 3J7, e-mail: marcotte@iro.umontreal.ca, CA aut NATIONALLICENCE 700 1- Zhu Daoli CRT, Université de Montréal, C.P. 6128, succursale Centre-Ville, Montréal, Québec, Canada H3C 3J7, e-mail: daoli@crt.umontreal.ca, CA aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer