Fixed Point Theory and Applications (Jan 2010)

Fixed Point Theorems on Spaces Endowed with Vector-Valued Metrics

  • Filip Alexandru-Darius,
  • Petruşel Adrian

Journal volume & issue
Vol. 2010, no. 1
p. 281381

Abstract

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The purpose of this work is to present some (local and global) fixed point results for singlevalued and multivalued generalized contractions on spaces endowed with vector-valued metrics. The results are extensions of some theorems given by Perov (1964), Bucur et al. (2009), M. Berinde and V. Berinde (2007), O'Regan et al. (2007), and so forth.