Gap Functions and Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems |
| |
| Authors: | S. J. Li K. L. Teo X. Q. Yang S. Y. Wu |
| |
| Affiliation: | (1) Department of Information and Computer Sciences, College of Mathematics and Science, Chongqing University, Chongqing, 400044, China;(2) Department of Mathematics and Statistics, Curtin University of Technology, GPO Box U1987, Perth, W. A., 6845, Australia;(3) Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong;(4) Institute of Applied Mathematics, National Cheng-Kung University, Tainan, 700, Taiwan;(5) National Center for Theoretical Sciences, Taiwan |
| |
| Abstract: | ![]()
This paper deals with generalized vector quasi-equilibrium problems. By virtue of a nonlinear scalarization function, the gap functions for two classes of generalized vector quasi-equilibrium problems are obtained. Then, from an existence theorem for a generalized quasi-equilibrium problem and a minimax inequality, existence theorems for two classes of generalized vector quasi-equilibrium problems are established. This research is partially supported by the Postdoctoral Fellowship Scheme of The Hong Kong Polytechnic University and the National Natural Science Foundation of China. |
| |
| Keywords: | generalized vector quasi-equilibrium problem nonlinear scalarization function minimax inequality |
| 本文献已被 SpringerLink 等数据库收录！ |
|
