| 弱广义向量拟似变分不等式解的存在性 |
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| 引用本文： | 范志强,齐小刚,裴萍.弱广义向量拟似变分不等式解的存在性[J].数学的实践与认识,2011,41(2). |
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| 作者姓名： | 范志强 齐小刚 裴萍 |
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| 作者单位： | 1. 新疆工业高等专科学校,基础部,新疆,乌鲁木齐,830091
2. 西安电子科技大学,理学院,陕西,西安,710071 |
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| 基金项目： | 国家自然科学基金(60703118) |
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| 摘 要： | 研究拓扑向量空间上弱广义向量拟似变分不等式解的存在性问题.与Khaliq和Rashid等在单调或伪单调假设条件下,利用KKM定理证明解的存在性不同,在集值映射是非空凸值映射并且有开下截口的条件下,利用Fan-Browder不动点原理证明解的存在性.
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| 关 键 词： | 向量拟似变分不等式 解的存在性 上半连续 不动点原理 C-对角拟凸 |
Existence Results for Solutions to Weak Generalized Quasivariational-Like Inequality Problems |
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| FAN Zhi-qiang,QIN Xiao-gang,PEI Ping.Existence Results for Solutions to Weak Generalized Quasivariational-Like Inequality Problems[J].Mathematics in Practice and Theory,2011,41(2). |
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| Authors: | FAN Zhi-qiang QIN Xiao-gang PEI Ping |
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| Institution: | FAN Zhi-qiang~1,QIN Xiao-gang~2,PEI Ping~1 (1.Department of Fundamental Education,Xinjiang Polytechnical College,Urumchi 830091,China) (2.Department of Applied Mathematics,Xidian University,Xi'an 710071,China) |
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| Abstract: | We study the existence results for solutions to weak generalized quasivariational-like inequality problems.In the case that the multimap is nonempty convex and has open lower section,we use Fan-Browder type fixed point theorem to prove some existence results of this problem,which is diferent from the works of Khaliq and Rashid,where the multimap is monotonicity or pseudomonotonicity. |
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| Keywords: | Weak Generalized quasivariational-like inequality solution existence fixed point theorem upper semicontinuous C-diagonal quasiconvexity |
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