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Fixed Point Theorems of Quasicontractions on Cone Metric Spaces with Banach Algebras

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  • Hao Liu
  • Shaoyuan Xu

Abstract

We introduce the concept of quasicontractions on cone metric spaces with Banach algebras, and by a new method of proof, we will prove the existence and uniqueness of fixed points of such mappings. The main result generalizes the well-known theorem of Ćirić (Ćirić 1974).

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  • Hao Liu & Shaoyuan Xu, 2013. "Fixed Point Theorems of Quasicontractions on Cone Metric Spaces with Banach Algebras," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, November.
    • Handle: RePEc:hin:jnlaaa:187348
    DOI: 10.1155/2013/187348
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