| 锥度量空间中两个集值映射的公共不动点定理 |
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| 引用本文： | 周乐,陈超,沈立成.锥度量空间中两个集值映射的公共不动点定理[J].西南师范大学学报(自然科学版),2011,36(5). |
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| 作者姓名： | 周乐 陈超 沈立成 |
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| 作者单位： | 西南大学数学与统计学院;重庆市第八中学校;西南大学地理科学学院三峡库区生态环境教育部重点实验室; |
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| 基金项目： | 国家自然科学基金资助项目(11071198); 中央高校基本科研业务费专项资金资助项目(XDJK2010B006); 高等学校博士学科点专项科研基金(20100182120029); 西南大学博士基金(SWUB2008013) |
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| 摘 要： | 在度量空间中引入了一种新的广义压缩条件,利用这种条件,在不要求正规锥的前提下,得到了满足广义压缩条件的集值映射的公共不动点的存在性结果.这些结果推广了一些锥度量空间中关于两个集值映射的最常见的公共不动点定理.
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| 关 键 词： | 公共不动点 非正规锥 集值映射 锥度量空间 |
Common Fixed Points Theorem for Two Multivalued Mappings in Cone Metric Spaces |
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| ZHOU Le,CHEN Chao,SHEN Li-cheng.School of Mathematics , Statistics,Southwest University,Chongqing ,China,.Chongqing No Middle School,Chongqing ,.Key Laboratory of Eco-environments in Three Gorges Reservoir Region,Ministry of Education,School of Geographical Science.Common Fixed Points Theorem for Two Multivalued Mappings in Cone Metric Spaces[J].Journal of Southwest China Normal University(Natural Science),2011,36(5). |
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| Authors: | ZHOU Le CHEN Chao SHEN Li-chengSchool of Mathematics Statistics Southwest University Chongqing China Chongqing No Middle School Chongqing Key Laboratory of Eco-environments in Three Gorges Reservoir Region Ministry of Education School of Geographical Science |
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| Institution: | ZHOU Le1,CHEN Chao2,SHEN Li-cheng31.School of Mathematics and Statistics,Southwest University,Chongqing 400715,China,2.Chongqing No 8 Middle School,Chongqing 400030,3.Key Laboratory of Eco-environments in Three Gorges Reservoir Region,Ministry of Education,School of Geographical Science |
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| Abstract: | A new generalized contractive condition is introduced in metric space.By the condition and without the normality of the cone,the existence of common fixed points of multivalued mappings satisfying generalized contractive conditions in cone metric spaces is proved.These results extend some of the most general common fixed point theorems for two multivalued mappings in cone metric spaces. |
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| Keywords: | common fixed point non-normal cone multivalued mapping cone metric space |
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