| 一般化凸空间上的几乎不动点, 不动点和拟变分不等式 |
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| 引用本文： | 朴勇杰. 一般化凸空间上的几乎不动点, 不动点和拟变分不等式[J]. 数学研究及应用, 2009, 29(6): 1107-1113. DOI: 10.3770/j.issn:1000-341X.2009.06.021 |
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| 作者姓名： | 朴勇杰 |
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| 作者单位： | 延边大学理学院数学系, 吉林 延吉 133002 |
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| 基金项目： | 国家自然科学基金(No.10361005). |
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| 摘 要： | The definitions of S-KKM property and Γ-invariable property for multi-valued map- ping are established, and by which, a new almost fixed point theorem and several fixed point theorems on Haudorff locally G-convex uniform space are obtained, and a quasi-variational inequality theorem for acyclic map on Hausdorff Φ-space is proved. Our results improve and generalize the corresponding results in recent literatures.
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| 关 键 词： | 拟变分不等式 不动点定理 广义凸空间 固定点 Hausdorff 多值映射 一致空间 定理证明 |
| 收稿时间： | 2007-11-06 |
| 修稿时间： | 2008-05-21 |
Almost Fixed Point, Fixed Point and Quasi-Variational Inequality on Generalized Convex Spaces |
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| PIAO Yong Jie. Almost Fixed Point, Fixed Point and Quasi-Variational Inequality on Generalized Convex Spaces[J]. Journal of Mathematical Research with Applications, 2009, 29(6): 1107-1113. DOI: 10.3770/j.issn:1000-341X.2009.06.021 |
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| Authors: | PIAO Yong Jie |
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| Affiliation: | Department of Mathematics, Yanbian University, Jilin 133002, China |
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| Abstract: | The definitions of S-KKM property and $Gamma$-invariable property for multi-valued mapping are established, and by which, a new almost fixed point theorem and several fixed point theorems on Haudorff locally $G$-convex uniform space are obtained, and a quasi-variational inequality theorem for acyclic map on Hausdorff $Phi$-space is proved. Our results improve and generalize the corresponding results in recent literatures. |
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| Keywords: | generalized convex space $Gamma$-convex $Phi$-map $Phi$-space better admissible multimap acyclic multimap the almost fixed point property. |
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