Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 281381, 15 pages
doi:10.1155/2010/281381
Research Article

Fixed Point Theorems on Spaces Endowed with Vector-Valued Metrics

Alexandru-Darius Filip and Adrian Petruşel

Department of Applied Mathematics, Babeş-Bolyai University, Kogǎlniceanu Street, No. 1, 400084 Cluj-Napoca, Romania

Received 2 July 2009; Revised 4 October 2009; Accepted 21 December 2009

Academic Editor: Tomas Dominguez Benavides

Copyright © 2010 Alexandru-Darius Filip and Adrian Petruşel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.