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广义变分不等式解存在的条件

Existence Condition of a Solution of General Variational Inequality Problem
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摘要 考虑广义变分不等式问题,通过对广义变分不等式的K-K-T方程构造组合同伦方程,给出了同伦路径存在的条件,从而得到了无界区域上广义变分不等式有解的条件. We considered the general variational inequality problem.We constructed the combined homotopy equation for the K-K-T equation of the general variational inequality and gave an existence condition of the homotopy path so as to obtain an existence condition of a solution of the general variational inequality.
作者 屈红雁 关丽红 王明明 王秀玉
机构地区 长春工业大学基础科学学院 长春大学理学院 空军航空大学计算机教研室
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2015年第6期1197-1200,共4页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:51278065) 吉林省自然科学基金(批准号:201215128 20130101061JC)
关键词 广义变分不等式 变分不等式 同伦方法 general variational inequality variational inequality homotopy method
分类号 O224 [理学—运筹学与控制论]
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参考文献10

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二级参考文献14

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  • 7YU Qian, HUANG Chongchao, WANG Xianjia. A Combined Homotopy Interior Point Method for the Linear Complementarity Problem [J]. Applied Mathematics and Computation, 2006, 179(2): 696-701.
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  • 9ZHOU Zhengyong, YU Bo. A Smoothing Homotopy Method Based on Robinson's Normal Equation for Mixed Complementarity Problems[J]. Journal of Industrial and Management Optimization, 2011, 7(4): 977-989.
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吉林大学学报（理学版）
2015年 第6期

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