广东工业大学学报 ›› 2021, Vol. 38 ›› Issue (01): 75-81.doi: 10.12052/gdutxb.200004

• 综合研究 • 上一篇    下一篇

具有Banach代数的锥度量空间中的公共不动点定理

洪育敏, 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:2020-01-03 出版日期:2021-01-25 发布日期:2020-12-21
  • 作者简介:洪育敏(1994-)，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)；广州市科技计划项目(201707010494)

Common Fixed Point Theorems in Cone Metric Spaces over Banach Algebras

Hong Yu-min, Yang Li-ping   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2020-01-03 Online:2021-01-25 Published:2020-12-21

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摘要： 在去掉锥的正规性和映射的弱增性的条件下, 研究Banach代数锥度量空间中的公共不动点的存在性和唯一性, 其结果改进和推广了相关文献中的一些主要结论。

关键词: Banach代数, 锥度量空间, 公共不动点

Abstract: In this paper, we study the existence and uniqueness of common fixed points in cone metric spaces over Banach algebras without the normality of cone and the weakly increasing of mappings. The results improve and generalize some main conclusions in related literatures.

Key words: Banach Algebras, cone metric spaces, common fixed points

中图分类号: 

  • O177.91
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[1] 刘艳艳, 杨理平. 锥度量空间中c-距离的公共不动点定理[J]. 广东工业大学学报, 2019, 36(05): 43-47.
[2] 陈盼, 孔伟铭, 杨理平. 锥度量空间中四个自映射的公共不动点定理[J]. 广东工业大学学报, 2014, 31(4): 79-84.
[3] 孔伟铭，杨理平. 锥度量空间中扩张映象对的公共不动点定理[J]. 广东工业大学学报, 2013, 30(1): 76-80.
[4] 杨理平； . 广义2-距离空间中映象列的公共不动点[J]. 广东工业大学学报, 2002, 19(4): 92-97.
[5] 杨理平； . 一类压缩型映象序列的公共不动点定理[J]. 广东工业大学学报, 1998, 15(4): 71-75.
[6] 杨理平； . 一类交换映象的公共不动点定理[J]. 广东工业大学学报, 1998, 15(2): 107-109.
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