Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (2): 224-233.

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Some New Theorems of Lipschitz Type Mappings in Cone Metric Spaces

  

  1. 1. Department of Mathematics, Zhaotong University 2. School of Mathematics and Statistics, Hubei Normal University

  • Received:2011-10-11 Online:2013-06-30 Published:2023-03-02
  • About author:HAN Yan(1986-), female, native of Huanggang, Hubei, an assistant of Zhaotong University, engages in nonlinear functional analysis; XU Wang-bin(1965-), male, native of Tianmen, Hubei, an associate professor of Hubei Normal University, engages in mathematical education and history; XU Shao-yuan(1964-), male, native of Wuhan, Hubei, a professor of Hubei Normal University, engages in nonlinear functional analysis and fractal geometry.
  • Supported by:
    Supported by the Foundation of Education Ministry of Hubei Province(D20102502)

Abstract: In this paper, some new existence and uniqueness of common fixed points for three mappings of Lipschitz type are obtained. The conditions are greatly weaker than the classic conditions in cone metric spaces. These results improve and generalize several wellknown comparable results in the literature. Moreover, our results are supported by some examples.

Key words: cone metric space, lipschitz type mapping, common fixed point

CLC Number: