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n-Banach空间的压缩型映射的不动点定理 被引量:1

Fixed Point Theorems Under Contractive Type Mappings in n-banach Spaces
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摘要 首先在n-Banach空间中证明了压缩型映射的不动点存在唯一性,其次给出了n-赋范空间中的拟收缩映射的概念,并证明了相应的不动点的存在唯一性. The existence and uniqueness of the fixed points under the contractive mappings in n-banach space are proved.The conception of quasi-contractive mapping in n-norm space is given and the corresponding existence and uniqueness of the fixed points are proved.
出处 《内蒙古大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第4期365-371,共7页 Journal of Inner Mongolia University:Natural Science Edition
基金 国家自然科学基金资助项目(11061022)
关键词 n-Banach空间 压缩型映射 不动点定理 n-Banach space contractive mapping fixed point theorem
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参考文献4

  • 1阎革兴.n-赋范空间[J]哈尔滨师范大学自然科学学报,1985(01):7-14.
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二级参考文献8

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