GENERIC STABILITY AND EXISTENCE OF ESSENTIAL COMPONENTS OF THE SOLUTION SET FOR THE SYSTEM OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS

Lin Zhi; Yu Jian

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GENERIC STABILITY AND EXISTENCE OF ESSENTIAL COMPONENTS OF THE SOLUTION SET FOR THE SYSTEM OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS

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摘要

By using Fort theorem the generic stability result for the system of generalized vector equilibrium problems is established.Further,by proving the existence and connectivity of minimal essential set the existence result of essential components in the solution set is derived.

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《高校应用数学学报：英文版》 |2007年第4期|497-504|共8页
作者
Lin Zhi; Yu Jian;
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作者单位

College of Science;

Chongqing Jiaotong Univ.;

Chongqing 400074;

China.;

Dept. of Math.;

Guizhou Univ.;

Guiyang 550025;

China.;

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原文格式 PDF
正文语种 chi
中图分类凸函数、凸集理论;
关键词
广义矢量平衡问题; C-凸; C-连续; 解集;

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1. Existence of Solutions to Generalized Vector Quasi-variational-like Inequalities with Set-valued Mappings [J] . Gao Da-peng ,Feng Shi-qiang . 数学研究通讯 . 2014,第001期
2. Upper and Lower Semicontinuity of Solution Sets for Parametric Generalized Vector Quasi-equilibrium Problems [J] . LI AI-QIN ,FAN LI-YA . 数学研究通讯 . 2011,第001期
3. Upper and Lower Semicontinuity of Solution Sets for Parametric Generalized Vector Quasi-equilibrium Problems [J] . LI AI-QIN ,FAN LI-YA . 数学研究通讯 . 2011,第001期
4. Optimality conditions of Set-valued Vector Optimization Problems [C] . GONG Xunhua . 中国运筹学会第六届学术交流会 . 2001
5. Existence Theory and Stability of Solutions for G-SDEs:with the Method of Upper and Lower Solutions [A] . 费足 . 2012

GENERIC STABILITY AND EXISTENCE OF ESSENTIAL COMPONENTS OF THE SOLUTION SET FOR THE SYSTEM OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS

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