Journal of Applied Mathematics (Jan 2013)

Common Fixed Points for Suzuki-Generalized Nonexpansive Maps

  • Maryam A. Alghamdi,
  • Sompong Dhompongsa,
  • Naseer Shahzad

DOI
https://doi.org/10.1155/2013/206759
Journal volume & issue
Vol. 2013

Abstract

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A common fixed point theorem for a pair of maps satisfying condition (C) is proved under certain conditions. We extend the well-knownDeMarr's fixed point theorem to the case of noncommuting family of maps satisfying condition (C). As for an application, an invariant approximation theorem is also derived.