广东工业大学学报 ›› 2019, Vol. 36 ›› Issue (05): 43-47.doi: 10.12052/gdutxb.180137

• 综合研究 • 上一篇    下一篇

锥度量空间中c-距离的公共不动点定理

刘艳艳, 杨理平   

  1. 广东工业大学 应用数学学院, 广东 广州 510520
  • 收稿日期:2018-10-23 出版日期:2019-08-21 发布日期:2019-08-06
  • 作者简介:刘艳艳(1995-),女,硕士研究生,主要研究方向为非线性泛函分析.
  • 基金资助:
    国家自然科学基金资助项目（61374081）；教育部人文社科规划基金资助项目（14YJAZH095）；广东省自然科学基金资助项目（2015A030313485）；广州市科学计划项目（201707010494）

Common Fixed Point Theorems for c-distances in Cone Metric Spaces

Liu Yan-yan, Yang Li-ping   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2018-10-23 Online:2019-08-21 Published:2019-08-06

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摘要： 在锥度量空间中不要求映射的非减性条件下，获得了c-距离意义下映射对的公共不动点定理；另外在不要求锥的正规性和映射的连续性的条件下，证明了c-距离下映射对公共不动点的存在性和唯一性.所得结果改进和推广了已有文献中的相关结论.

关键词: 锥度量空间, c-距离, 公共不动点

Abstract: In this paper, the common fixed point theorem for mapping pairs under c-distance is obtained in the cone metric space, The results do not require nondecreasing in the condition. In addition, the condition of the results neither require the normality for cone nor require the continuity for mapping, Furthermore, the existence and uniqueness of the mapping to the common fixed point under c-distance is proved. The results improve and generalize the relevant conclusions in the existing literature.

Key words: cone metric space, c-distance, common fixed point

中图分类号: 

  • O177.91
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