Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (4): 539-545.

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Some Fixed Point Results on a Class of Contractive Mappings in Cone Metric Spaces

  

  1. 1. School of Mathematics and Statistics, Hubei Normal University2. Department of Mathematics, Zhaotong University
  • Received:2012-02-03 Online:2013-12-30 Published:2023-02-17
  • About author:HUANG Hua-ping(1978-), male, native of Anlu, Hubei, a lecturer of Hubei Normal University, engages in nonlinear analysis.
  • Supported by:
    Supported by the Graduate Initial Fund of Hubei Normal University(2008D36); Supported by the Foundation of Education Ministry of Hubei Province(D20102502)

Abstract: In this paper, we consider a notion of contractive mappings with certain conditions in cone metric spaces and obtain some results of fixed points by using some necessary conditions. The results directly improve and generalize some fixed point results in metric spaces and some previous results in cone metric spaces.


Key words: cone metric space, sequentially compact, ?xed point

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