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Fixed Point Theorems in Quaternion‐Valued Metric Spaces

Author

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  • Ahmed El-Sayed Ahmed
  • Saleh Omran
  • Abdalla J. Asad

Abstract

The aim of this paper is twofold. First, we introduce the concept of quaternion metric spaces which generalizes both real and complex metric spaces. Further, we establish some fixed point theorems in quaternion setting. Secondly, we prove a fixed point theorem in normal cone metric spaces for four self‐maps satisfying a general contraction condition.

Suggested Citation

  • Ahmed El-Sayed Ahmed & Saleh Omran & Abdalla J. Asad, 2014. "Fixed Point Theorems in Quaternion‐Valued Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:258985
    DOI: 10.1155/2014/258985
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    References listed on IDEAS

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    1. Klaus Gürlebeck & Klaus Habetha & Wolfgang Sprößig, 2008. "Holomorphic Functions in the Plane and n-dimensional Space," Springer Books, Springer, number 978-3-7643-8272-8, March.
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    Cited by:

    1. Ravi P. Agarwal & Hamed H. Alsulami & Erdal Karapınar & Farshid Khojasteh, 2014. "Remarks on Some Recent Fixed Point Results on Quaternion‐Valued Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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