SOME FIXED POINTS FOR EXPANSIVE MAPPINGS AND FAMILIES OF MAPPINGS

  • Liu, Z. (Department of Mathematics Liaoning Normal University, China) ;
  • Feng, C. (Department of Mathematics Liaoning Normal University, China) ;
  • Kang, S.M. (Department of Mathematics Gyeongsang National University) ;
  • Kim, Y.S. (Department of Mathematics Gyeongsang National University)
  • Published : 2002.06.27

Abstract

In this paper we obtain some fixed points theorems of expansive mappings and several necessary and sufficient conditions for the existence of common fixed points of families of self-mappings in metric spaces. Our results generalize and improve the main results of Fisher [1]-[5], Furi-Vignoli [6], $Is\'{e}ki$ [7], Jungck [8], [9], Kashara-Rhoades [10], Liu [13], [14] and Sharma and Strivastava [16].

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