Fixed point results for generalized quasicontraction mappings in abstract metric spaces

  • Pathak H
  • Shahzad N
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Abstract

In this paper, we introduce the concept of generalized quasicontraction mappings in an abstract metric space. By using this concept, we construct an iterative process which converges to a unique fixed point of these mappings. The result presented in this paper generalizes the Banach contraction principle in the setting of metric space and a recent result of Huang-Zhang for contractions. We also validate our main result by an example. © 2009 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Cone metric space
  • Generalized quasicontraction mapping

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Authors

  • H. K. Pathak

  • N. Shahzad

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