Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 78696, 13 pages
doi:10.1155/2007/78696

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

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.