Chinese Quarterly Journal of Mathematics ›› 2016, Vol. 31 ›› Issue (2): 155-161.doi: 10.13371/j.cnki.chin.q.j.m.2016.02.006

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Common Fixed Point Theorems in Non-normal Cone Metric Spaces with Banach Algebras

  

  1. 1. School of Mathematical Sciences,Beijing Normal University2. Department of Mathematics and Statistics,Hanshan Normal University3. School of Marxism,Hubei Normal University
  • Received:2014-04-14 Online:2016-06-30 Published:2020-11-06
  • About author:HUANG Hua-ping(1978-), male, native of Anlu, Hubei, an associate professor of Hubei Normal University, engages in nonlinear analysis.
  • Supported by:
    Supported by the Science and Technology Research Project of the Education Department of Hubei Province(B2015137); Supported by the National Social Science Foundation of China(12BZS050);

Abstract: In this paper, we obtain a class of common fixed point theorems for generalized Lipschitz mappings in cone metric spaces with Banach algebras without the assumption of normality of cones. The results greatly generalize some results in the literature. Moreover,we give an example to support the main assertions. 

Key words: cone metric space with Banach algebra, generalized Lispchitz constant, weakly compatible

CLC Number: