Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 78696, 13 pages
doi:10.1155/2007/78696
Research Article
Coincidence Theorems, Generalized Variational Inequality Theorems, and Minimax Inequality Theorems for the Φ-Mapping on G-Convex Spaces
Department of Applied Mathematics, National Hsinchu University of Education, Hsinchu 300, Taiwan
Received 14 December 2006; Revised 27 February 2007; Accepted 5 March 2007
Academic Editor: Simeon Reich
Copyright © 2007 Chi-Ming Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We establish some coincidence theorems, generalized variational inequality theorems, and minimax inequality theorems for the family G-KKM(X,Y) and the Φ-mapping on G-convex spaces.