| 一般多值向量变分不等式问题 |
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| 引用本文： | 殷洪友,徐成贤.一般多值向量变分不等式问题[J].应用数学学报,2001,24(2):284-290. |
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| 作者姓名： | 殷洪友 徐成贤 |
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| 作者单位： | 1. 南京航空航天大学理学院,
2. 西安交通大学理学院, |
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| 基金项目： | 国家自然科学基金资助项目(10071037号) |
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| 摘 要： | 本文引入一般多值向量变分不等式问题（GMVVI），这推广和统一了现有的向量变分不等式，文内还引入了弱C－伪单调映射和半连续映的概念，在弱C－伪单调性和半连续性的假设下，给出了（GMVVI）的广义线性化引理和解的存在定理，本文的结果即使对一般向量变分不等式问题和广义向量变分不等式问题也是全新的。
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| 关 键 词： | 半连续性 弱C－伪单调性 广义线性化引理 多值向量 变分不等式 解 存在定理 |
GENERAL MULTI-VALUED VECTOR VARIATIONAL INEQUALITY PROBLEMS |
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| YIN HONGYOU.GENERAL MULTI-VALUED VECTOR VARIATIONAL INEQUALITY PROBLEMS[J].Acta Mathematicae Applicatae Sinica,2001,24(2):284-290. |
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| Authors: | YIN HONGYOU |
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| Abstract: | In this paper, we introduce a general multi-valued vector variational inequality problem (GMVVI) which extends and unifies the existing vector variational inequalities. The concepts of weakly C-pseudomonotone mappings and hemicontinuous mappings are introduced. Generalized linearization lemma and exisence theorems of solutions for (GMVVI) are given with the assumptions of weakly C-pseudomonotonicity and hemicontinuity. These results are new even for the general vector variational inequality problem and generalized vector variational inequality problem. |
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| Keywords: | General multi-Valued vector variational inequality problem hemicontinuity weakly C-pseudomonotonicity generalized linearization lemma existence theorem of solutions |
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