Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 281381, 15 pages
doi:10.1155/2010/281381
Fixed point theorems on spaces endowed with vector-valued metrics
Alexandru-Darius Filip
and Adrian Petruşel
Department of Applied Mathematics, Babeş-Bolyai University, Kog {a}\ln iceanu Street, No. 1, 400084 Cluj-Napoca, Romania
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.