Gap Functions and Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems |
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| Authors: | S J Li K L Teo X Q Yang S Y Wu |
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| Institution: | (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 |
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| 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. |
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| Keywords: | generalized vector quasi-equilibrium problem nonlinear scalarization function minimax inequality |
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