Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 78696, 13 pages
Research Article

Coincidence Theorems, Generalized Variational Inequality Theorems, and Minimax Inequality Theorems for the Φ-Mapping on G-Convex Spaces

Chi-Ming Chen, Tong-Huei Chang, and Ya-Pei Liao

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.


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.