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Fixed Point and Common Fixed Point Theorems on Ordered Cone b-Metric Spaces

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  • Sahar Mohammad Abusalim
  • Mohd Salmi Md Noorani

Abstract

The concept of a cone b-metric space has been introduced recently as a generalization of a b-metric space and a cone metric space in 2011. The aim of this paper is to establish some fixed point and common fixed point theorems on ordered cone b-metric spaces. The proposed theorems expand and generalize several well-known comparable results in the literature to ordered cone b-metric spaces. Some supporting examples are given.

Suggested Citation

  • Sahar Mohammad Abusalim & Mohd Salmi Md Noorani, 2013. "Fixed Point and Common Fixed Point Theorems on Ordered Cone b-Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, May.
    • Handle: RePEc:hin:jnlaaa:815289
    DOI: 10.1155/2013/815289
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