Gap functions for a system of generalized vector quasi-equilibrium problems with set-valued mappings

被引：0
|
作者：
Nan-jing Huang
Jun Li
Soon-yi Wu
机构：
[1] Sichuan University,Department of Mathematics
[2] China West Normal University,School of Mathematics and Information
[3] National Cheng-Kung University,Institute of Applied Mathematics
[4] National Center for Theoretical Sciences,undefined
来源：
Journal of Global Optimization | 2008年 / 41卷
关键词：
System of generalized vector quasi-equilibrium problems; Gap function; Nonlinear scalarization function; Set-valued mapping; 49J40; 47J20;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, some gap functions for three classes of a system of generalized vector quasi-equilibrium problems with set-valued mappings (for short, SGVQEP) are investigated by virtue of the nonlinear scalarization function of Chen, Yang and Yu. Three examples are then provided to demonstrate these gap functions. Also, some gap functions for three classes of generalized finite dimensional vector equilibrium problems (GFVEP) are derived without using the nonlinear scalarization function method. Furthermore, a set-valued function is obtained as a gap function for one of (GFVEP) under certain assumptions.
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页码：401 / 415
页数：14
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