Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (1): 47-52.

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Common Fixed Points under Contractive Conditions in Cone Metric Spaces

  

  1. 1. Kewen Institute, Jiangsu Normal University 2. School of Mathematical Science, Jiangsu Normal University

  • Received:2011-03-21 Online:2013-03-30 Published:2023-03-08
  • About author:Wang Yun-jie(1978-), male, native of Fuyang, Anhui, a lecturer of Jiangsu Normal University, engages in nonlinear function analysis; ZHU Jiang(1959-), male, native of Lianyungang, Jiangsu, a professor of Jiangsu Normal University, engages in nonlinear function analysis.
  • Supported by:
    Supported by the NNSF of China(10771212); Supported by the Natural Science Foundation of Xuzhou Normal University(09KLB03)

Abstract: In order to develop and improve the fixed point theorems in cone metric spaces, some new fixed point theorems are presented for two mappings in cone metric spaces which satisfy contractive conditions, where the cone is not necessarily normal. Our results generalize fixed point theorems of Abbas, Jungck and Stojan Radenovic in cone metric spaces.

Key words:  cone metric space, normal and non-normal cone, common fixed point

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