Fixed Point Theorems on Spaces Endowed with Vector-Valued Metrics
By A. Filip, Adrian Petrusel. 2010
52 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/1164b153e49d0848f53099019fca8bd2af1125ff
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In Geometry and Topology
Citations in the corpus
- COUPLED FIXED POINT THEOREMS AND APPLICATIONS TO PERIODIC BOUNDARY VALUE PROBLEMS (2013, background): “3) For related results to Perov’s fixed point theorem and for some generalizations and applications of it we refer to [3], [4], [9].”