Fixed Point Theory and Applications (May 2007)

Fixed Points of Weakly Contractive Maps and Boundedness of Orbits

  • Jie-Hua Mai,
  • Xin-He Liu

DOI
https://doi.org/10.1155/2007/20962
Journal volume & issue
Vol. 2007

Abstract

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We discuss weakly contractive maps on complete metric spaces. Following three methods of generalizing the Banach contraction principle, we obtain some fixed point theorems under some relatively weaker and more general contractive conditions.