Abstract
AbstractThe 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.
Highlights
The classical Banach contraction principle was extended for contraction mappings on spaces endowed with vector-valued metrics by Perov in 1964 see 1 .Let X be a nonempty set
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
A set X equipped with a vector-valued metric d is called a generalized metric space
Summary
The classical Banach contraction principle was extended for contraction mappings on spaces endowed with vector-valued metrics by Perov in 1964 see 1 .Let X be a nonempty set. Main result for self contractions on generalized metric spaces is Perov’s fixed point theorem; see 1 .
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