| 广义投影下F隐变分不等式解的存在性 |
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| 引用本文： | 陈加伟,邹云志.广义投影下F隐变分不等式解的存在性[J].数学学报,2010,53(2):375-384. |
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| 作者姓名： | 陈加伟 邹云志 |
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| 作者单位： | 西华师范大学数学与信息学院;四川大学数学学院; |
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| 基金项目： | 国家自然科学基金资助项目(60804065); 四川省教育厅重点项目(07ZA123); 西华师范大学科研启动基金资助项目(08B075) |
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| 摘 要： | 首先引进了广义(F,g)-投影算子,提出了一个新的例外簇概念,并运用Fan-KKM定理以及例外簇,分别在无单调性与渐近h-g伪单调假设下,研究了自反Banach空间中一类F隐变分不等式的可解性与解集特征问题,得到了新的解的存在性定理.
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| 关 键 词： | F隐变分不等式 例外簇 J-g全连续场 |
| 收稿时间： | 2008-08-28 |
| 修稿时间： | 2009-10-27 |
Existence of Solutions of F-Implicit Variational Inequality Problems with Extended Projection Operators |
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| Jia Wei CHEN School of Mathematics , Information,China West Normal University,Nanchong ,P.R.China Yun Zhi ZOU.Existence of Solutions of F-Implicit Variational Inequality Problems with Extended Projection Operators[J].Acta Mathematica Sinica,2010,53(2):375-384. |
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| Authors: | Jia Wei CHEN School of Mathematics Information China West Normal University Nanchong PRChina Yun Zhi ZOU |
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| Institution: | 1. School of Mathematics and Information, China West Normal University, Nanchong 637002, P. R. China;
2. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China |
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| Abstract: | In this paper,the authors investigate a class of F-implicit variational inequality problems in reflexive Banach spaces.By introducing a new concept of the generalized(F,g)-projection operator and a new definition of exceptional family and using Fan-KKM theorem and exceptional family under asymptotic h-g pseudomonotonicity and without monotonicity assumptions,respectively,the authors derive some existence theorems and some properties of the solutions. |
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| Keywords: | F-implicit variational inequality exceptional family J-g completely continuous field |
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