Fixed Point Theory and Applications (Jan 2009)

A Generalization of Kannan's Fixed Point Theorem

  • Yusuke Enjouji,
  • Masato Nakanishi,
  • Tomonari Suzuki

DOI
https://doi.org/10.1155/2009/192872
Journal volume & issue
Vol. 2009

Abstract

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In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.