Fixed Point Theory and Applications (Jan 2009)

A Generalization of Kannan's Fixed Point Theorem

  • Enjouji Yusuke,
  • Nakanishi Masato,
  • Suzuki Tomonari

Journal volume & issue
Vol. 2009, no. 1
p. 192872

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.