广东工业大学学报 ›› 2014, Vol. 31 ›› Issue (4): 79-84.doi: 10.3969/j.issn.1007-7162.2014.04.015

• 综合研究 • 上一篇    下一篇

锥度量空间中四个自映射的公共不动点定理

陈盼, 孔伟铭,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:2013-05-24 出版日期:2014-12-28 发布日期:2014-12-28
  • 作者简介:陈盼(1990-),男,硕士研究生,主要研究方向为非线性泛函分析.
  • 基金资助:

    教育部人文社科基金资助项目(14YJAZH095)

Common Fixed Point Theorems for Four Mapsin the Cone Metric Spaces

Chen Pan,Kong Wei-ming,Yang Li-ping   

  1. School of Appied Mathematics,Guangdong University of Technology,Guangzhou 510520,China
  • Received:2013-05-24 Online:2014-12-28 Published:2014-12-28

摘要: 在完备的锥度量空间中讨论了4个自映射的公共不动点定理,其存在性和唯一性得到证明.所得主要结果将锥度量空间中的公共不动点定理进行了推广.

关键词: 锥度量空间;自映射;公共不动点;弱相容映射

Abstract: The existence and uniqueness of the common fixed points for four maps in the complete cone metric space are discussed.The main results in the papers improve and generalize the conclusions of a pair of self-mappings in the cone metric space.

Key words: cone metric space;self-maps;common fixed point;weakly compatible maps

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