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锥度量空间中两个集值映射的公共不动点定理(英文) 被引量:1

Common Fixed Points Theorem for Two Multivalued Mappings in Cone Metric Spaces
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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. 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.
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第5期48-51,共4页 Journal of Southwest China Normal University(Natural Science Edition)
基金 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)
关键词 公共不动点 非正规锥 集值映射 锥度量空间 common fixed point non-normal cone multivalued mapping cone metric space
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参考文献9

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共引文献10

同被引文献6

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  • 3DEMIRER H,(O)ZT(U)RK M,BASARIR M. On Some Maps with P and Q Properties in Non-Normal Cone Metric Spcaces[J].International Mathematical Forum,2011,(08):381-387.
  • 4AZAM A,ARSHAD M,BEG I. Common Fixed Points of Two Maps in Cone Metric Spaces[J].Ren-diconti del Circolo Matematico di Palermo,2008.433-441.
  • 5ABBAS M,RHOSDES B E,NAZIR T. Common Fixed Points of Generalized Contractive Multivalued Mappings in Cone Metric Spaces[J].Mathematical Communications,2009.365-378.
  • 6刘文军,孟京华,邓中书.渐近拟非扩张型映象的修正的Ishikawa Riech-Takahashi迭代序列的强收敛性[J].江西师范大学学报(自然科学版),2011,35(3):297-301. 被引量:2

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