Gap Functions and Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems

被引:0
作者
S. J. Li
K. L. Teo
X. Q. Yang
S. Y. Wu
机构
[1] Chongqing University,Department of Information and Computer Sciences, College of Mathematics and Science
[2] Curtin University of Technology,Department of Mathematics and Statistics
[3] The Hong Kong Polytechnic University,Department of Applied Mathematics
[4] National Cheng-Kung University,Institute of Applied Mathematics
[5] National Center for Theoretical Sciences,undefined
来源
Journal of Global Optimization | 2006年 / 34卷
关键词
generalized vector quasi-equilibrium problem; nonlinear scalarization function; minimax inequality;
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中图分类号
学科分类号
摘要
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.
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页码:427 / 440
页数:13
相关论文
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