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广义向量拟平衡问题系统解的强本质稳定性及广义多目标对策平衡点集的存在性

宋奇庆

广西科学2011,Vol.18Issue(1):26-29,4.
广西科学2011,Vol.18Issue(1):26-29,4.

广义向量拟平衡问题系统解的强本质稳定性及广义多目标对策平衡点集的存在性

Strong Essential Stability of the System of Generalized Vector Quasi-Equilibrium Problems and Existence of Equilibrium Points in Generalized Multiple Objective Games

宋奇庆1

作者信息

  • 1. 桂林理工大学理学院,广西桂林,541004
  • 折叠

摘要

Abstract

We consider the system of generalized vectorquasi-equilibrium and prove the existence of its solution. Consequently, we get the existence of strongly essential sets for its solution sets. As an application,we derive the existence of strongly essential equilibrium points of generalized multiple objective games and strongly essential weak Pareto-Nash equilibrium.

关键词

广义向量拟平衡问题/强本质集/weak Pareto-Nash平衡点

Key words

system of generalized vector quasi-equilibrium/ strong essential sets/ weak ParetoNash equilibrium

分类

数理科学

引用本文复制引用

宋奇庆..广义向量拟平衡问题系统解的强本质稳定性及广义多目标对策平衡点集的存在性[J].广西科学,2011,18(1):26-29,4.

基金项目

广西教育厅科研基金项目(200702LX215)资助. (200702LX215)

广西科学

OACSTPCD

1005-9164

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