Journal of Jishou University(Natural Sciences Edition)

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New Fixed Point in Semi-Ordered Cone Metric Spaces with Banach Algebras

XU Shaoyuan   

  1. (School of Mathematics and Statistics,Hanshan Normal College,Chaozhou 521041,Guangdong China)
  • Online:2017-01-25 Published:2017-01-17

Abstract:

Without the assumption of normality,the theory of c-sequence is utilized to obtain the existence and uniqueness of the fixed point for the generalized Lipschitz mappings in the semi-ordered cone metric spaces with Banach algebras.Since the condition of normality is deleted,our main results improve and generalize the results of fixed point obtained in existing literature.

Key words: semi-ordered cone metric spaces, non-normal cones, fixed point theorems, generalized Lipschitz mapping, c-sequence

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