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集值Sperner组合引理与抽象凸空间中的KKMS引理 被引量：2

The Set-Valued Sperner’s Lemma and KKMS Lemma in Abstract Convex Space
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摘要 首先利用H0-条件构造满足Fan Browder重合定理条件的集值映射,证明了集值Sperner组合引理;然后分别利用集值Sperner组合引理和Fan Browder重合定理证明了不具线性结构的抽象凸空间中的KKMS引理. Utilizing the H0 - condition, the set-valued maps satisfying the conditions of Fan Browder Coincidence Theorem are constructed, and the Set-valued Sperner＇s Lemma is derived. Next, the KKMS Lemma in abstract convex space with no linear structure is proved by using the Set-valued Sperner＇s Lemma and Fan Browder Coincidence Theorem respectively.
作者 夏顺友
机构地区 贵州大学计算机科学与信息学院 贵州师范学院数学与计算机科学学院
出处 《西南师范大学学报（自然科学版）》 CAS CSCD 北大核心 2013年第6期25-29,共5页 Journal of Southwest China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(11161008) 贵州省自然科学基金([2012]2293 [2012]2289 [2013]2235)
关键词 集值Sperner组合引理 FAN Browder重合定理 KKMS引理 抽象凸空间 Set-valued Sperner＇s Lemma Fan Browder Coincidence Theorem KKMS Lemma abstractconvex space
分类号 O177.91 [理学—基础数学]
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参考文献14

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二级参考文献25

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共引文献15

同被引文献12

引证文献2

二级引证文献4

西南师范大学学报（自然科学版）
2013年 第6期

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