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关于锥度量空间中压缩映射的不动点定理
引用本文:彭荣. 关于锥度量空间中压缩映射的不动点定理[J]. 广西民族大学学报, 2012, 18(4): 42-46
作者姓名:彭荣
作者单位:广东培正学院人文基础部,广东广州,510830
基金项目:广东培正学院青年基金项目(12PZMYB009).
摘    要:在锥度量空间中,运用锥的正则性与偏序理论,研究了一类单调压缩映射的不动点的存在性,获得了一些不动点的存在唯一性定理,推广和改进了已有文献的相关结果.

关 键 词:不动点  锥度量空间  单调压缩映射

On Fixed Point Theorems for Contractive Mappings in Cone Metric Spaces
PENG Rong. On Fixed Point Theorems for Contractive Mappings in Cone Metric Spaces[J]. Journal of Guangxi University For Nationalities, 2012, 18(4): 42-46
Authors:PENG Rong
Affiliation:PENG Rong (Department of Dasic Education Guangdong Peizheng College, Guangzhou 510830,China)
Abstract:In cone metric space, using the regularity of cone and partial order theory, the existence of fixed point for a class of monotone contractive operators were discussed. Some Existence and uniqueness the- orems for fixed point were obtained, which extended and improved the results in some relative literature.
Keywords:fixed point  cone metric spaces  monotone contractive mapping
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