Theoretical Mathematics & Applications

Some common fixed point theorems of sequentially compact and complete cone -2- metric spaces of a contractive mapping

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• Abstract 

  In this paper, we prove some common fixed point theorems of sequentially compact and complete cone 2-metric spaces of a contractive mappings. We have proved four lemmas for the main theorems. Our results improve and generalize some of the results of B Singh etal(15) etc.

  Mathematics Subject Classification: 47 H 10, 54 H 25
  Keywords: Fixed points, common fixed points, compact and complete cone 2-metric spaces, ordered Banach space, contractive mapping, Normal cone with normal constant, sequentially compact cone 2-metric space.