caa a22 4500 463170059 CHVBK 20180406164810.0 cr unu---uuuuu 170326e20070201xx s 000 0 eng 10.1007/s10957-006-9139-z doi (NATIONALLICENCE)springer-10.1007/s10957-006-9139-z Existence Theorems for Variational Inequalities in Banach Spaces [Elektronische Daten] [L. Zeng, J. Yao] In this paper, by employing the notion of generalized projection operators and the well-known Fan's lemma, we establish some existence results for the variational inequality problem and the quasivariational inequality problem in reflexive, strictly convex, and smooth Banach spaces. We propose also an iterative method for approximate solutions of the variational inequality problem and we establish some convergence results for this iterative method. Springer Science+Business Media, Inc., 2007 Variational inequalities nationallicence generalized projection operators nationallicence KKM theorem nationallicence fixed points nationallicence Banach spaces nationallicence Zeng L. Department of Mathematics, Shanghai Normal University, Shanghai, China aut Yao J. Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 132/2(2007-02-01), 321-337 0022-3239 132:2<321 2007 132 10957 https://doi.org/10.1007/s10957-006-9139-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-006-9139-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zeng L. Department of Mathematics, Shanghai Normal University, Shanghai, China aut NATIONALLICENCE 700 1- Yao J. Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 132/2(2007-02-01), 321-337 0022-3239 132:2<321 2007 132 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer