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

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

Recommended by Simeon Reich

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.